Finding the Fourth Proportional to 1,025.64, 1,415.35 and 559.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.64 : 1,415.35 = 559.89 : x
2. Step 2: Convert to fraction form
   1,025.64/1,415.35 = 559.89/x
3. Step 3: Cross multiply
   1,025.64x = 1,415.35 × 559.89
4. Step 4: Simplify right side
   1,025.64x = 792,440.31
5. Step 5: Solve for x
   x = 792,440.31/1,025.64
6. Step 6: Final answer
   x = 772.63