Finding the Fourth Proportional to 2,766.56, 4,149.88 and 686.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.56 : 4,149.88 = 686.56 : x
2. Step 2: Convert to fraction form
   2,766.56/4,149.88 = 686.56/x
3. Step 3: Cross multiply
   2,766.56x = 4,149.88 × 686.56
4. Step 4: Simplify right side
   2,766.56x = 2,849,141.61
5. Step 5: Solve for x
   x = 2,849,141.61/2,766.56
6. Step 6: Final answer
   x = 1,029.85