On the following map, the capital of country #4 is la paz quito lima cayenne

Lima

Explanation:

The country that is labelled as 4 is Peru, and its capital is Lima. Lima is the largest city in the country, and one of the oldest cities in the continent. Originally the capital of the Viceroyalty of Peru, it became the capital of the country after the war of independence. Lima is the location of one of the oldest universities in America.