Finding the Fourth Proportional to 1,025.33, 1,414.89 and 559.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.33 : 1,414.89 = 559.58 : x
2. Step 2: Convert to fraction form
   1,025.33/1,414.89 = 559.58/x
3. Step 3: Cross multiply
   1,025.33x = 1,414.89 × 559.58
4. Step 4: Simplify right side
   1,025.33x = 791,744.15
5. Step 5: Solve for x
   x = 791,744.15/1,025.33
6. Step 6: Final answer
   x = 772.18