Finding the Fourth Proportional to 10,105.30, 13,946.34 and 5,629.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.30 : 13,946.34 = 5,629.78 : x
2. Step 2: Convert to fraction form
   10,105.30/13,946.34 = 5,629.78/x
3. Step 3: Cross multiply
   10,105.30x = 13,946.34 × 5,629.78
4. Step 4: Simplify right side
   10,105.30x = 78,514,826.01
5. Step 5: Solve for x
   x = 78,514,826.01/10,105.30
6. Step 6: Final answer
   x = 7,769.67