Finding the Fourth Proportional to 10,105.35, 13,945.39 and 5,857.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.35 : 13,945.39 = 5,857.23 : x
2. Step 2: Convert to fraction form
   10,105.35/13,945.39 = 5,857.23/x
3. Step 3: Cross multiply
   10,105.35x = 13,945.39 × 5,857.23
4. Step 4: Simplify right side
   10,105.35x = 81,681,356.67
5. Step 5: Solve for x
   x = 81,681,356.67/10,105.35
6. Step 6: Final answer
   x = 8,082.99