Finding the Fourth Proportional to 1,025.34, 1,414.92 and 559.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.34 : 1,414.92 = 559.59 : x
2. Step 2: Convert to fraction form
   1,025.34/1,414.92 = 559.59/x
3. Step 3: Cross multiply
   1,025.34x = 1,414.92 × 559.59
4. Step 4: Simplify right side
   1,025.34x = 791,775.08
5. Step 5: Solve for x
   x = 791,775.08/1,025.34
6. Step 6: Final answer
   x = 772.21