Finding the Fourth Proportional to 1,025.47, 1,415.15 and 559.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.47 : 1,415.15 = 559.72 : x
2. Step 2: Convert to fraction form
   1,025.47/1,415.15 = 559.72/x
3. Step 3: Cross multiply
   1,025.47x = 1,415.15 × 559.72
4. Step 4: Simplify right side
   1,025.47x = 792,092.79
5. Step 5: Solve for x
   x = 792,092.79/1,025.47
6. Step 6: Final answer
   x = 772.42