Finding the Fourth Proportional to 2,505.09, 3,758.51 and 773.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.09 : 3,758.51 = 773.71 : x
2. Step 2: Convert to fraction form
   2,505.09/3,758.51 = 773.71/x
3. Step 3: Cross multiply
   2,505.09x = 3,758.51 × 773.71
4. Step 4: Simplify right side
   2,505.09x = 2,907,996.77
5. Step 5: Solve for x
   x = 2,907,996.77/2,505.09
6. Step 6: Final answer
   x = 1,160.84