Finding the Fourth Proportional to 1,025.16, 1,414.72 and 559.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 1,414.72 = 559.41 : x
2. Step 2: Convert to fraction form
   1,025.16/1,414.72 = 559.41/x
3. Step 3: Cross multiply
   1,025.16x = 1,414.72 × 559.41
4. Step 4: Simplify right side
   1,025.16x = 791,400.76
5. Step 5: Solve for x
   x = 791,400.76/1,025.16
6. Step 6: Final answer
   x = 771.98