Finding the Fourth Proportional to 10,105.72, 13,945.91 and 5,857.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.72 : 13,945.91 = 5,857.60 : x
2. Step 2: Convert to fraction form
   10,105.72/13,945.91 = 5,857.60/x
3. Step 3: Cross multiply
   10,105.72x = 13,945.91 × 5,857.60
4. Step 4: Simplify right side
   10,105.72x = 81,689,463.40
5. Step 5: Solve for x
   x = 81,689,463.40/10,105.72
6. Step 6: Final answer
   x = 8,083.49