Finding the Fourth Proportional to 1,008.90, 1,392.12 and 566.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.90 : 1,392.12 = 566.82 : x
2. Step 2: Convert to fraction form
   1,008.90/1,392.12 = 566.82/x
3. Step 3: Cross multiply
   1,008.90x = 1,392.12 × 566.82
4. Step 4: Simplify right side
   1,008.90x = 789,081.46
5. Step 5: Solve for x
   x = 789,081.46/1,008.90
6. Step 6: Final answer
   x = 782.12