Finding the Fourth Proportional to 1,008.59, 1,391.74 and 566.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.59 : 1,391.74 = 566.54 : x
2. Step 2: Convert to fraction form
   1,008.59/1,391.74 = 566.54/x
3. Step 3: Cross multiply
   1,008.59x = 1,391.74 × 566.54
4. Step 4: Simplify right side
   1,008.59x = 788,469.42
5. Step 5: Solve for x
   x = 788,469.42/1,008.59
6. Step 6: Final answer
   x = 781.76