Finding the Fourth Proportional to 2,505.10, 3,757.70 and 773.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.10 : 3,757.70 = 773.72 : x
2. Step 2: Convert to fraction form
   2,505.10/3,757.70 = 773.72/x
3. Step 3: Cross multiply
   2,505.10x = 3,757.70 × 773.72
4. Step 4: Simplify right side
   2,505.10x = 2,907,403.78
5. Step 5: Solve for x
   x = 2,907,403.78/2,505.10
6. Step 6: Final answer
   x = 1,160.60