Finding the Fourth Proportional to 10,105.20, 13,945.32 and 5,629.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.20 : 13,945.32 = 5,629.24 : x
2. Step 2: Convert to fraction form
   10,105.20/13,945.32 = 5,629.24/x
3. Step 3: Cross multiply
   10,105.20x = 13,945.32 × 5,629.24
4. Step 4: Simplify right side
   10,105.20x = 78,501,553.16
5. Step 5: Solve for x
   x = 78,501,553.16/10,105.20
6. Step 6: Final answer
   x = 7,768.43