Finding the Fourth Proportional to 10,105.49, 13,945.82 and 5,629.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.49 : 13,945.82 = 5,629.31 : x
2. Step 2: Convert to fraction form
   10,105.49/13,945.82 = 5,629.31/x
3. Step 3: Cross multiply
   10,105.49x = 13,945.82 × 5,629.31
4. Step 4: Simplify right side
   10,105.49x = 78,505,350.70
5. Step 5: Solve for x
   x = 78,505,350.70/10,105.49
6. Step 6: Final answer
   x = 7,768.59