Finding the Fourth Proportional to 1,008.61, 1,391.77 and 566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.61 : 1,391.77 = 566.42 : x
2. Step 2: Convert to fraction form
   1,008.61/1,391.77 = 566.42/x
3. Step 3: Cross multiply
   1,008.61x = 1,391.77 × 566.42
4. Step 4: Simplify right side
   1,008.61x = 788,316.93
5. Step 5: Solve for x
   x = 788,316.93/1,008.61
6. Step 6: Final answer
   x = 781.59