Finding the Fourth Proportional to 10,105.62, 13,945.23 and 5,629.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.62 : 13,945.23 = 5,629.20 : x
2. Step 2: Convert to fraction form
   10,105.62/13,945.23 = 5,629.20/x
3. Step 3: Cross multiply
   10,105.62x = 13,945.23 × 5,629.20
4. Step 4: Simplify right side
   10,105.62x = 78,500,488.72
5. Step 5: Solve for x
   x = 78,500,488.72/10,105.62
6. Step 6: Final answer
   x = 7,768.00