Finding the Fourth Proportional to 1,008.92, 1,392.27 and 566.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.92 : 1,392.27 = 566.81 : x
2. Step 2: Convert to fraction form
   1,008.92/1,392.27 = 566.81/x
3. Step 3: Cross multiply
   1,008.92x = 1,392.27 × 566.81
4. Step 4: Simplify right side
   1,008.92x = 789,145.60
5. Step 5: Solve for x
   x = 789,145.60/1,008.92
6. Step 6: Final answer
   x = 782.17