Finding the Fourth Proportional to 16,538.64, 22,825.20 and 9,466.38

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538.64 : 22,825.20 = 9,466.38 : x
2. Step 2: Convert to fraction form
   16,538.64/22,825.20 = 9,466.38/x
3. Step 3: Cross multiply
   16,538.64x = 22,825.20 × 9,466.38
4. Step 4: Simplify right side
   16,538.64x = 216,072,016.78
5. Step 5: Solve for x
   x = 216,072,016.78/16,538.64
6. Step 6: Final answer
   x = 13,064.68