Finding the Fourth Proportional to 9,766.38, 14,655.57 and 4,572.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.38 : 14,655.57 = 4,572.78 : x
2. Step 2: Convert to fraction form
   9,766.38/14,655.57 = 4,572.78/x
3. Step 3: Cross multiply
   9,766.38x = 14,655.57 × 4,572.78
4. Step 4: Simplify right side
   9,766.38x = 67,016,697.38
5. Step 5: Solve for x
   x = 67,016,697.38/9,766.38
6. Step 6: Final answer
   x = 6,861.98