Finding the Fourth Proportional to 10,105.02, 13,945.68 and 5,857.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.02 : 13,945.68 = 5,857.38 : x
2. Step 2: Convert to fraction form
   10,105.02/13,945.68 = 5,857.38/x
3. Step 3: Cross multiply
   10,105.02x = 13,945.68 × 5,857.38
4. Step 4: Simplify right side
   10,105.02x = 81,685,147.12
5. Step 5: Solve for x
   x = 81,685,147.12/10,105.02
6. Step 6: Final answer
   x = 8,083.62