Finding the Fourth Proportional to 9,657.09, 13,324.50 and 5,465.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.09 : 13,324.50 = 5,465.34 : x
2. Step 2: Convert to fraction form
   9,657.09/13,324.50 = 5,465.34/x
3. Step 3: Cross multiply
   9,657.09x = 13,324.50 × 5,465.34
4. Step 4: Simplify right side
   9,657.09x = 72,822,922.83
5. Step 5: Solve for x
   x = 72,822,922.83/9,657.09
6. Step 6: Final answer
   x = 7,540.88