Finding the Fourth Proportional to 1,008.46, 1,391.60 and 566.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.46 : 1,391.60 = 566.28 : x
2. Step 2: Convert to fraction form
   1,008.46/1,391.60 = 566.28/x
3. Step 3: Cross multiply
   1,008.46x = 1,391.60 × 566.28
4. Step 4: Simplify right side
   1,008.46x = 788,025.46
5. Step 5: Solve for x
   x = 788,025.46/1,008.46
6. Step 6: Final answer
   x = 781.42