Finding the Fourth Proportional to 10,106.06, 13,946.15 and 5,629.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.06 : 13,946.15 = 5,629.80 : x
2. Step 2: Convert to fraction form
   10,106.06/13,946.15 = 5,629.80/x
3. Step 3: Cross multiply
   10,106.06x = 13,946.15 × 5,629.80
4. Step 4: Simplify right side
   10,106.06x = 78,514,007.12
5. Step 5: Solve for x
   x = 78,514,007.12/10,106.06
6. Step 6: Final answer
   x = 7,769.01