Finding the Fourth Proportional to 10,105.80, 13,944.15 and 5,629.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.80 : 13,944.15 = 5,629.44 : x
2. Step 2: Convert to fraction form
   10,105.80/13,944.15 = 5,629.44/x
3. Step 3: Cross multiply
   10,105.80x = 13,944.15 × 5,629.44
4. Step 4: Simplify right side
   10,105.80x = 78,497,755.78
5. Step 5: Solve for x
   x = 78,497,755.78/10,105.80
6. Step 6: Final answer
   x = 7,767.59