Finding the Fourth Proportional to 16,276.10, 22,461.43 and 9,105.77

Step by Step Solution

1. Step 1: Write the proportion equation
   16,276.10 : 22,461.43 = 9,105.77 : x
2. Step 2: Convert to fraction form
   16,276.10/22,461.43 = 9,105.77/x
3. Step 3: Cross multiply
   16,276.10x = 22,461.43 × 9,105.77
4. Step 4: Simplify right side
   16,276.10x = 204,528,615.45
5. Step 5: Solve for x
   x = 204,528,615.45/16,276.10
6. Step 6: Final answer
   x = 12,566.20