Finding the Fourth Proportional to 9,668.34, 13,342.05 and 5,689.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,668.34 : 13,342.05 = 5,689.69 : x
2. Step 2: Convert to fraction form
   9,668.34/13,342.05 = 5,689.69/x
3. Step 3: Cross multiply
   9,668.34x = 13,342.05 × 5,689.69
4. Step 4: Simplify right side
   9,668.34x = 75,912,095.11
5. Step 5: Solve for x
   x = 75,912,095.11/9,668.34
6. Step 6: Final answer
   x = 7,851.62