Finding the Fourth Proportional to 10,105.74, 13,946.34 and 5,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.74 : 13,946.34 = 5,629.50 : x
2. Step 2: Convert to fraction form
   10,105.74/13,946.34 = 5,629.50/x
3. Step 3: Cross multiply
   10,105.74x = 13,946.34 × 5,629.50
4. Step 4: Simplify right side
   10,105.74x = 78,510,921.03
5. Step 5: Solve for x
   x = 78,510,921.03/10,105.74
6. Step 6: Final answer
   x = 7,768.94