Finding the Fourth Proportional to 10,057.29, 13,879.71 and 5,809.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.29 : 13,879.71 = 5,809.14 : x
2. Step 2: Convert to fraction form
   10,057.29/13,879.71 = 5,809.14/x
3. Step 3: Cross multiply
   10,057.29x = 13,879.71 × 5,809.14
4. Step 4: Simplify right side
   10,057.29x = 80,629,178.55
5. Step 5: Solve for x
   x = 80,629,178.55/10,057.29
6. Step 6: Final answer
   x = 8,016.99