There are several ways to look at it. Here's one that seems to fit in
with the way people think nowadays:
On a scale of 1 to 10,
1. the average up to the final, 76, gets a 6, so multiply it by 6.
2. the final exam, X, gets a 4, so multiply it by 4.
3. the course grade desired, 80, gets a 10, so multiply it by 10.
(76)(6) + (4)(X) = (80)(10)
456 + 4X = 800
4X = 344
X = 86
Edwin