Finding the Fourth Proportional to 1,008.82, 1,392.17 and 566.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.82 : 1,392.17 = 566.87 : x
2. Step 2: Convert to fraction form
   1,008.82/1,392.17 = 566.87/x
3. Step 3: Cross multiply
   1,008.82x = 1,392.17 × 566.87
4. Step 4: Simplify right side
   1,008.82x = 789,173.86
5. Step 5: Solve for x
   x = 789,173.86/1,008.82
6. Step 6: Final answer
   x = 782.28