Finding the Fourth Proportional to 1,008.47, 1,391.78 and 566.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.47 : 1,391.78 = 566.48 : x
2. Step 2: Convert to fraction form
   1,008.47/1,391.78 = 566.48/x
3. Step 3: Cross multiply
   1,008.47x = 1,391.78 × 566.48
4. Step 4: Simplify right side
   1,008.47x = 788,420.43
5. Step 5: Solve for x
   x = 788,420.43/1,008.47
6. Step 6: Final answer
   x = 781.80