Finding the Fourth Proportional to 9,689.20, 14,540.18 and 5,309.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.20 : 14,540.18 = 5,309.72 : x
2. Step 2: Convert to fraction form
   9,689.20/14,540.18 = 5,309.72/x
3. Step 3: Cross multiply
   9,689.20x = 14,540.18 × 5,309.72
4. Step 4: Simplify right side
   9,689.20x = 77,204,284.55
5. Step 5: Solve for x
   x = 77,204,284.55/9,689.20
6. Step 6: Final answer
   x = 7,968.08