Finding the Fourth Proportional to 1,025.07, 1,414.61 and 559.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.07 : 1,414.61 = 559.32 : x
2. Step 2: Convert to fraction form
   1,025.07/1,414.61 = 559.32/x
3. Step 3: Cross multiply
   1,025.07x = 1,414.61 × 559.32
4. Step 4: Simplify right side
   1,025.07x = 791,216.87
5. Step 5: Solve for x
   x = 791,216.87/1,025.07
6. Step 6: Final answer
   x = 771.87