There is only one place in the world where four countries meet at one point. What are the four countries and how did this situation come about?

The four countries are: Namibia, Zambia, Zimbabwe and Botswana which meet at the eastern end of the Caprivi Strip. The Caprivi Strip itself was ceded by Britain to what was then German South-West Africa (now Nambia) - presumably from Bechuanaland (Botswana) - in order to allow the German colony to have access to the Zambezi river. The name derives from Leo, Graf von Caprivi who was chancellor from 1890-4

http://blog.goway.com/globetrotting/2016/04/visiting-four-corners-africa/

I'm giving a definite yay to you for the African answer. The point lies in the middle of the Zambesi river. Caprivi, himself, bargained at the Berlin Conference to gain the strip of land named after him. It was indeed intended to give the Germans access to the Zambesi and a navigable link to German East Africa. As it happened, however, there was no navigable link due to the small matter of the Victoria Falls!

Where four territories meet at one point (e.g. Utah, Colorado, Arizona and New Mexico) is called a quadripoint.

There's of course the "Four Corners" of the US states - Colorado, Arizona, Utah and New Mexico.

Also, the northern end of the Gulf of Elat (or the Gulf of Aqaba as it is more widely known) is easily the meeting point of Israel, Egypt, Jordan and Saudi Arabia. One could even swim between the four nations without suffering much fatigue, and of course every country is visible to the others at the gulf's shore.

The territories of Israel and Saudi Arabia don't actually meet anymore, since the Saudis handed Aqaba over to Jordan some time in the 1990s. Jordan and Egypt also have no common land border, but if you include the water, then you could swim out to the common border of all these countries in about ten minutes from Taba, Egypt (or 15 minutes from Elat).

Israel, Jordan, Saudi Arabia and Egypt are all immediately visible from the shores of the Gulf of Elat. Egypt does not immediately border Jordan but it's just a 30-foot swim across Israeli waters.

Israel, Jordan, Saudi Arabia and Egypt are all immediately visible from the shores of the Gulf of Elat. Egypt does not immediately border Jordan but it's just a 30-foot swim across Israeli waters.

The meeting of Namibia and Zimbabwe is dubious and is still debated by geographers. If they do meet, it occurs in the middle of a river and is the world's only true quadripoint. See Botswana-Namibia-Zambia in the article below:

home.worldonline.dk/jesniel/border/african_tripoints.htm no longer exists

Perhaps the world’s most notable tripoints fall in the middle of the Zambezi River, near the borders of Botswana, Namibia, Zambia, and Zimbabwe in southern Africa. The area features a unique “double tripoint,” with the two tripoints separated by about 150 meters (490 feet). The two tripoints are shown on this satellite image of the Zambezi River, which was captured by the Operational Land Imager (OLI) on Landsat 8. Namibia, Botswana, and Zambia come together at a westerly point in the river; Zambia, Zimbabwe, and Botswana come together at the easterly point. The borders shown above come from a data set maintained by the U.S. State Department’s Humanitarian Information Unit.

The borders in this area have generated controversy over the years. In 1970, for instance, South Africa (which used to control Namibia) claimed that all four countries came together in a quadripoint and questioned whether Zambia had a right to operate a ferry between Botswana and Kazungula, Zambia. More recently officials in Zimbabwe have resisted a plan agreed upon by Botswana and Zambia to replace the ferry with a bridge on the grounds that the bridge would go through Zimbabwean territory. Nevertheless, the target date for completion of the bridge is 2018.

https://earthobservatory.nasa.gov/images/85867/double-tripoint-in-southern-africa
https://www.google.com/maps/@-17.7990255,25.2469213,14.33z