Finding the Fourth Proportional to 16,238.10, 22,409.82 and 9,164.64

Step by Step Solution

1. Step 1: Write the proportion equation
   16,238.10 : 22,409.82 = 9,164.64 : x
2. Step 2: Convert to fraction form
   16,238.10/22,409.82 = 9,164.64/x
3. Step 3: Cross multiply
   16,238.10x = 22,409.82 × 9,164.64
4. Step 4: Simplify right side
   16,238.10x = 205,377,932.76
5. Step 5: Solve for x
   x = 205,377,932.76/16,238.10
6. Step 6: Final answer
   x = 12,647.90