Alright! High school algebra- one I just might be able to do!
The key word here is consecutive. Let x be the smallest of the four numbers. Then the other three are x+ 1, x+ 2, and x+ 3. Add x+ (x+1)+ (x+ 2)+ (x+ 3). What do you get? What does x have to be for that to be a multiple of 4?