Finding the Fourth Proportional to 10,105.81, 13,945.49 and 5,629.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.81 : 13,945.49 = 5,629.39 : x
2. Step 2: Convert to fraction form
   10,105.81/13,945.49 = 5,629.39/x
3. Step 3: Cross multiply
   10,105.81x = 13,945.49 × 5,629.39
4. Step 4: Simplify right side
   10,105.81x = 78,504,560.05
5. Step 5: Solve for x
   x = 78,504,560.05/10,105.81
6. Step 6: Final answer
   x = 7,768.26