Finding the Fourth Proportional to 2,505.84, 3,758.12 and 773.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.84 : 3,758.12 = 773.52 : x
2. Step 2: Convert to fraction form
   2,505.84/3,758.12 = 773.52/x
3. Step 3: Cross multiply
   2,505.84x = 3,758.12 × 773.52
4. Step 4: Simplify right side
   2,505.84x = 2,906,980.98
5. Step 5: Solve for x
   x = 2,906,980.98/2,505.84
6. Step 6: Final answer
   x = 1,160.08