Finding the Fourth Proportional to 1,025.38, 1,414.29 and 710.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.38 : 1,414.29 = 710.78 : x
2. Step 2: Convert to fraction form
   1,025.38/1,414.29 = 710.78/x
3. Step 3: Cross multiply
   1,025.38x = 1,414.29 × 710.78
4. Step 4: Simplify right side
   1,025.38x = 1,005,250.58
5. Step 5: Solve for x
   x = 1,005,250.58/1,025.38
6. Step 6: Final answer
   x = 980.37