Finding the Fourth Proportional to 10,057.74, 13,879.50 and 5,581.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.74 : 13,879.50 = 5,581.43 : x
2. Step 2: Convert to fraction form
   10,057.74/13,879.50 = 5,581.43/x
3. Step 3: Cross multiply
   10,057.74x = 13,879.50 × 5,581.43
4. Step 4: Simplify right side
   10,057.74x = 77,467,388.29
5. Step 5: Solve for x
   x = 77,467,388.29/10,057.74
6. Step 6: Final answer
   x = 7,702.27