Finding the Fourth Proportional to 9,669.16, 13,344.51 and 5,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669.16 : 13,344.51 = 5,691.25 : x
2. Step 2: Convert to fraction form
   9,669.16/13,344.51 = 5,691.25/x
3. Step 3: Cross multiply
   9,669.16x = 13,344.51 × 5,691.25
4. Step 4: Simplify right side
   9,669.16x = 75,946,942.54
5. Step 5: Solve for x
   x = 75,946,942.54/9,669.16
6. Step 6: Final answer
   x = 7,854.55