Finding the Fourth Proportional to 10,057.83, 13,879.40 and 5,581.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.83 : 13,879.40 = 5,581.77 : x
2. Step 2: Convert to fraction form
   10,057.83/13,879.40 = 5,581.77/x
3. Step 3: Cross multiply
   10,057.83x = 13,879.40 × 5,581.77
4. Step 4: Simplify right side
   10,057.83x = 77,471,590.63
5. Step 5: Solve for x
   x = 77,471,590.63/10,057.83
6. Step 6: Final answer
   x = 7,702.61