Finding the Fourth Proportional to 1,008.42, 1,391.46 and 566.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.42 : 1,391.46 = 566.34 : x
2. Step 2: Convert to fraction form
   1,008.42/1,391.46 = 566.34/x
3. Step 3: Cross multiply
   1,008.42x = 1,391.46 × 566.34
4. Step 4: Simplify right side
   1,008.42x = 788,039.46
5. Step 5: Solve for x
   x = 788,039.46/1,008.42
6. Step 6: Final answer
   x = 781.46