Finding the Fourth Proportional to 16,638, 22,957.83 and 9,563.10

Step by Step Solution

1. Step 1: Write the proportion equation
   16,638 : 22,957.83 = 9,563.10 : x
2. Step 2: Convert to fraction form
   16,638/22,957.83 = 9,563.10/x
3. Step 3: Cross multiply
   16,638x = 22,957.83 × 9,563.10
4. Step 4: Simplify right side
   16,638x = 219,548,024.07
5. Step 5: Solve for x
   x = 219,548,024.07/16,638
6. Step 6: Final answer
   x = 13,195.58