Finding the Fourth Proportional to 1,025.31, 1,414.94 and 559.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.31 : 1,414.94 = 559.56 : x
2. Step 2: Convert to fraction form
   1,025.31/1,414.94 = 559.56/x
3. Step 3: Cross multiply
   1,025.31x = 1,414.94 × 559.56
4. Step 4: Simplify right side
   1,025.31x = 791,743.83
5. Step 5: Solve for x
   x = 791,743.83/1,025.31
6. Step 6: Final answer
   x = 772.20