Finding the Fourth Proportional to 9,680.55, 14,517.24 and 5,732.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.55 : 14,517.24 = 5,732.67 : x
2. Step 2: Convert to fraction form
   9,680.55/14,517.24 = 5,732.67/x
3. Step 3: Cross multiply
   9,680.55x = 14,517.24 × 5,732.67
4. Step 4: Simplify right side
   9,680.55x = 83,222,587.23
5. Step 5: Solve for x
   x = 83,222,587.23/9,680.55
6. Step 6: Final answer
   x = 8,596.89