Finding the Fourth Proportional to 10,105.22, 13,945.22 and 5,857.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.22 : 13,945.22 = 5,857.10 : x
2. Step 2: Convert to fraction form
   10,105.22/13,945.22 = 5,857.10/x
3. Step 3: Cross multiply
   10,105.22x = 13,945.22 × 5,857.10
4. Step 4: Simplify right side
   10,105.22x = 81,678,449.05
5. Step 5: Solve for x
   x = 81,678,449.05/10,105.22
6. Step 6: Final answer
   x = 8,082.80