Finding the Fourth Proportional to 10,105.80, 13,945.66 and 5,629.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.80 : 13,945.66 = 5,629.74 : x
2. Step 2: Convert to fraction form
   10,105.80/13,945.66 = 5,629.74/x
3. Step 3: Cross multiply
   10,105.80x = 13,945.66 × 5,629.74
4. Step 4: Simplify right side
   10,105.80x = 78,510,439.93
5. Step 5: Solve for x
   x = 78,510,439.93/10,105.80
6. Step 6: Final answer
   x = 7,768.85