Finding the Fourth Proportional to 1,008.52, 1,391.67 and 566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.52 : 1,391.67 = 566.42 : x
2. Step 2: Convert to fraction form
   1,008.52/1,391.67 = 566.42/x
3. Step 3: Cross multiply
   1,008.52x = 1,391.67 × 566.42
4. Step 4: Simplify right side
   1,008.52x = 788,262.76
5. Step 5: Solve for x
   x = 788,262.76/1,008.52
6. Step 6: Final answer
   x = 781.61