Finding the Fourth Proportional to 1,025.28, 1,414.86 and 559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.28 : 1,414.86 = 559.50 : x
2. Step 2: Convert to fraction form
   1,025.28/1,414.86 = 559.50/x
3. Step 3: Cross multiply
   1,025.28x = 1,414.86 × 559.50
4. Step 4: Simplify right side
   1,025.28x = 791,614.17
5. Step 5: Solve for x
   x = 791,614.17/1,025.28
6. Step 6: Final answer
   x = 772.10