Finding the Fourth Proportional to 1,008.42, 1,391.61 and 566.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.42 : 1,391.61 = 566.31 : x
2. Step 2: Convert to fraction form
   1,008.42/1,391.61 = 566.31/x
3. Step 3: Cross multiply
   1,008.42x = 1,391.61 × 566.31
4. Step 4: Simplify right side
   1,008.42x = 788,082.66
5. Step 5: Solve for x
   x = 788,082.66/1,008.42
6. Step 6: Final answer
   x = 781.50