Finding the Fourth Proportional to 1,025.10, 1,414.56 and 559.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.10 : 1,414.56 = 559.35 : x
2. Step 2: Convert to fraction form
   1,025.10/1,414.56 = 559.35/x
3. Step 3: Cross multiply
   1,025.10x = 1,414.56 × 559.35
4. Step 4: Simplify right side
   1,025.10x = 791,234.14
5. Step 5: Solve for x
   x = 791,234.14/1,025.10
6. Step 6: Final answer
   x = 771.86