Finding the Fourth Proportional to 1,025.29, 1,538.32 and 614.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.29 : 1,538.32 = 614.72 : x
2. Step 2: Convert to fraction form
   1,025.29/1,538.32 = 614.72/x
3. Step 3: Cross multiply
   1,025.29x = 1,538.32 × 614.72
4. Step 4: Simplify right side
   1,025.29x = 945,639.53
5. Step 5: Solve for x
   x = 945,639.53/1,025.29
6. Step 6: Final answer
   x = 922.31