Finding the Fourth Proportional to 1,008.95, 1,392.34 and 566.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.95 : 1,392.34 = 566.83 : x
2. Step 2: Convert to fraction form
   1,008.95/1,392.34 = 566.83/x
3. Step 3: Cross multiply
   1,008.95x = 1,392.34 × 566.83
4. Step 4: Simplify right side
   1,008.95x = 789,210.29
5. Step 5: Solve for x
   x = 789,210.29/1,008.95
6. Step 6: Final answer
   x = 782.21