Finding the Fourth Proportional to 10,105.50, 13,945.86 and 5,629.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.50 : 13,945.86 = 5,629.44 : x
2. Step 2: Convert to fraction form
   10,105.50/13,945.86 = 5,629.44/x
3. Step 3: Cross multiply
   10,105.50x = 13,945.86 × 5,629.44
4. Step 4: Simplify right side
   10,105.50x = 78,507,382.12
5. Step 5: Solve for x
   x = 78,507,382.12/10,105.50
6. Step 6: Final answer
   x = 7,768.78