Finding the Fourth Proportional to 1,008.94, 1,392.42 and 566.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.94 : 1,392.42 = 566.79 : x
2. Step 2: Convert to fraction form
   1,008.94/1,392.42 = 566.79/x
3. Step 3: Cross multiply
   1,008.94x = 1,392.42 × 566.79
4. Step 4: Simplify right side
   1,008.94x = 789,209.73
5. Step 5: Solve for x
   x = 789,209.73/1,008.94
6. Step 6: Final answer
   x = 782.22