Finding the Fourth Proportional to 10,105.29, 13,945.75 and 5,629.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.29 : 13,945.75 = 5,629.05 : x
2. Step 2: Convert to fraction form
   10,105.29/13,945.75 = 5,629.05/x
3. Step 3: Cross multiply
   10,105.29x = 13,945.75 × 5,629.05
4. Step 4: Simplify right side
   10,105.29x = 78,501,309.96
5. Step 5: Solve for x
   x = 78,501,309.96/10,105.29
6. Step 6: Final answer
   x = 7,768.34