Finding the Fourth Proportional to 10,105.16, 13,945.37 and 5,628.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.16 : 13,945.37 = 5,628.83 : x
2. Step 2: Convert to fraction form
   10,105.16/13,945.37 = 5,628.83/x
3. Step 3: Cross multiply
   10,105.16x = 13,945.37 × 5,628.83
4. Step 4: Simplify right side
   10,105.16x = 78,496,019.15
5. Step 5: Solve for x
   x = 78,496,019.15/10,105.16
6. Step 6: Final answer
   x = 7,767.92