Finding the Fourth Proportional to 1,025.15, 1,414.76 and 559.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.15 : 1,414.76 = 559.40 : x
2. Step 2: Convert to fraction form
   1,025.15/1,414.76 = 559.40/x
3. Step 3: Cross multiply
   1,025.15x = 1,414.76 × 559.40
4. Step 4: Simplify right side
   1,025.15x = 791,406.87
5. Step 5: Solve for x
   x = 791,406.87/1,025.15
6. Step 6: Final answer
   x = 772.00