Finding the Fourth Proportional to 12,057, 16,640.64 and 7,581.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,057 : 16,640.64 = 7,581.42 : x
2. Step 2: Convert to fraction form
   12,057/16,640.64 = 7,581.42/x
3. Step 3: Cross multiply
   12,057x = 16,640.64 × 7,581.42
4. Step 4: Simplify right side
   12,057x = 126,159,680.91
5. Step 5: Solve for x
   x = 126,159,680.91/12,057
6. Step 6: Final answer
   x = 10,463.60