76.660+412.500:(93.856-93.756)+2797

Let's solve the expression step by step, following the order of operations (parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right)):

1. Calculate the value inside the parentheses: \[ 93.856 - 93.756 = 0.1 \]

2. Next, perform the division: \[ 412.500 \div 0.1 = 4125.00 \]

3. Now, replace the division result in the original expression: \[ 76.660 + 4125.00 + 2797 \]

4. Finally, perform the addition from left to right: \[ 76.660 + 4125.00 = 4201.66 \] \[ 4201.66 + 2797 = 6998.66 \]

Thus, the result of the expression is: \[ \boxed{6998.66} \]