Finding the Fourth Proportional to 9,669.40, 13,342.50 and 5,689.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669.40 : 13,342.50 = 5,689.72 : x
2. Step 2: Convert to fraction form
   9,669.40/13,342.50 = 5,689.72/x
3. Step 3: Cross multiply
   9,669.40x = 13,342.50 × 5,689.72
4. Step 4: Simplify right side
   9,669.40x = 75,915,089.10
5. Step 5: Solve for x
   x = 75,915,089.10/9,669.40
6. Step 6: Final answer
   x = 7,851.07