Finding the Fourth Proportional to 10,105.68, 13,945.46 and 5,629.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.68 : 13,945.46 = 5,629.32 : x
2. Step 2: Convert to fraction form
   10,105.68/13,945.46 = 5,629.32/x
3. Step 3: Cross multiply
   10,105.68x = 13,945.46 × 5,629.32
4. Step 4: Simplify right side
   10,105.68x = 78,503,456.89
5. Step 5: Solve for x
   x = 78,503,456.89/10,105.68
6. Step 6: Final answer
   x = 7,768.25