Finding the Fourth Proportional to 10,057.82, 13,879.92 and 5,581.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.82 : 13,879.92 = 5,581.70 : x
2. Step 2: Convert to fraction form
   10,057.82/13,879.92 = 5,581.70/x
3. Step 3: Cross multiply
   10,057.82x = 13,879.92 × 5,581.70
4. Step 4: Simplify right side
   10,057.82x = 77,473,549.46
5. Step 5: Solve for x
   x = 77,473,549.46/10,057.82
6. Step 6: Final answer
   x = 7,702.82