Finding the Fourth Proportional to 10,105, 13,944.90 and 5,689

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105 : 13,944.90 = 5,689 : x
2. Step 2: Convert to fraction form
   10,105/13,944.90 = 5,689/x
3. Step 3: Cross multiply
   10,105x = 13,944.90 × 5,689
4. Step 4: Simplify right side
   10,105x = 79,332,536.10
5. Step 5: Solve for x
   x = 79,332,536.10/10,105
6. Step 6: Final answer
   x = 7,850.82