Finding the Fourth Proportional to 1,042.32, 1,565.04 and 654.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.32 : 1,565.04 = 654.78 : x
2. Step 2: Convert to fraction form
   1,042.32/1,565.04 = 654.78/x
3. Step 3: Cross multiply
   1,042.32x = 1,565.04 × 654.78
4. Step 4: Simplify right side
   1,042.32x = 1,024,756.89
5. Step 5: Solve for x
   x = 1,024,756.89/1,042.32
6. Step 6: Final answer
   x = 983.15