Finding the Fourth Proportional to 9,766.17, 13,476.78 and 5,517.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.17 : 13,476.78 = 5,517.72 : x
2. Step 2: Convert to fraction form
   9,766.17/13,476.78 = 5,517.72/x
3. Step 3: Cross multiply
   9,766.17x = 13,476.78 × 5,517.72
4. Step 4: Simplify right side
   9,766.17x = 74,361,098.54
5. Step 5: Solve for x
   x = 74,361,098.54/9,766.17
6. Step 6: Final answer
   x = 7,614.15