Finding the Fourth Proportional to 1,032.12, 1,424.31 and 566.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.12 : 1,424.31 = 566.37 : x
2. Step 2: Convert to fraction form
   1,032.12/1,424.31 = 566.37/x
3. Step 3: Cross multiply
   1,032.12x = 1,424.31 × 566.37
4. Step 4: Simplify right side
   1,032.12x = 806,686.45
5. Step 5: Solve for x
   x = 806,686.45/1,032.12
6. Step 6: Final answer
   x = 781.58