Finding the Fourth Proportional to 1,025.71, 1,415.46 and 559.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.71 : 1,415.46 = 559.96 : x
2. Step 2: Convert to fraction form
   1,025.71/1,415.46 = 559.96/x
3. Step 3: Cross multiply
   1,025.71x = 1,415.46 × 559.96
4. Step 4: Simplify right side
   1,025.71x = 792,600.98
5. Step 5: Solve for x
   x = 792,600.98/1,025.71
6. Step 6: Final answer
   x = 772.73