What is the total number of male employees taking all the colleges together?

The total number of male employees across all five colleges is 8360.

Male count is found by splitting each college total by its M:F ratio and taking the male part.

College A: 3040 times 13/19 gives 2080 male employees.

College B: 3360 times 4/7 gives 1920 male employees.

College C: 2920 times 9/20 gives 1314 male employees.

College D: 2760 times 10/23 gives 1200 male employees.

College E: 2840 times 13/20 gives 1846 male employees.

Adding 2080, 1920, 1314, 1200 and 1846 gives the total 8360.