Finding the Fourth Proportional to 1,025.22, 1,414.82 and 559.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.22 : 1,414.82 = 559.47 : x
2. Step 2: Convert to fraction form
   1,025.22/1,414.82 = 559.47/x
3. Step 3: Cross multiply
   1,025.22x = 1,414.82 × 559.47
4. Step 4: Simplify right side
   1,025.22x = 791,549.35
5. Step 5: Solve for x
   x = 791,549.35/1,025.22
6. Step 6: Final answer
   x = 772.08