Finding the Fourth Proportional to 1,032.56, 1,424.88 and 566.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.56 : 1,424.88 = 566.72 : x
2. Step 2: Convert to fraction form
   1,032.56/1,424.88 = 566.72/x
3. Step 3: Cross multiply
   1,032.56x = 1,424.88 × 566.72
4. Step 4: Simplify right side
   1,032.56x = 807,507.99
5. Step 5: Solve for x
   x = 807,507.99/1,032.56
6. Step 6: Final answer
   x = 782.04