Finding the Fourth Proportional to 16,638, 22,960.50 and 9,564.84

Step by Step Solution

1. Step 1: Write the proportion equation
   16,638 : 22,960.50 = 9,564.84 : x
2. Step 2: Convert to fraction form
   16,638/22,960.50 = 9,564.84/x
3. Step 3: Cross multiply
   16,638x = 22,960.50 × 9,564.84
4. Step 4: Simplify right side
   16,638x = 219,613,508.82
5. Step 5: Solve for x
   x = 219,613,508.82/16,638
6. Step 6: Final answer
   x = 13,199.51