Finding the Fourth Proportional to 16,320, 22,523.52 and 9,696

Step by Step Solution

1. Step 1: Write the proportion equation
   16,320 : 22,523.52 = 9,696 : x
2. Step 2: Convert to fraction form
   16,320/22,523.52 = 9,696/x
3. Step 3: Cross multiply
   16,320x = 22,523.52 × 9,696
4. Step 4: Simplify right side
   16,320x = 218,388,049.92
5. Step 5: Solve for x
   x = 218,388,049.92/16,320
6. Step 6: Final answer
   x = 13,381.62