Finding the Fourth Proportional to 9,658.09, 13,329.02 and 5,409.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.09 : 13,329.02 = 5,409.09 : x
2. Step 2: Convert to fraction form
   9,658.09/13,329.02 = 5,409.09/x
3. Step 3: Cross multiply
   9,658.09x = 13,329.02 × 5,409.09
4. Step 4: Simplify right side
   9,658.09x = 72,097,835.47
5. Step 5: Solve for x
   x = 72,097,835.47/9,658.09
6. Step 6: Final answer
   x = 7,465.02