Finding the Fourth Proportional to 1,032.17, 1,424.31 and 566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.17 : 1,424.31 = 566.42 : x
2. Step 2: Convert to fraction form
   1,032.17/1,424.31 = 566.42/x
3. Step 3: Cross multiply
   1,032.17x = 1,424.31 × 566.42
4. Step 4: Simplify right side
   1,032.17x = 806,757.67
5. Step 5: Solve for x
   x = 806,757.67/1,032.17
6. Step 6: Final answer
   x = 781.61