Answer:
Correct order is:
Baroque
Neoclassicism
Realism
Futurism
Explanation:
Baroque developed since the early 17th Century until middle of 18th Century.
Neoclassicism developed since the middle of 18th Century, through 19th Century.
Futurism started developing in the early 20th Century.
Realism developed in the 19th Century.
