Finding the Fourth Proportional to 10,229.43, 14,117.30 and 7,707.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229.43 : 14,117.30 = 7,707.09 : x
2. Step 2: Convert to fraction form
   10,229.43/14,117.30 = 7,707.09/x
3. Step 3: Cross multiply
   10,229.43x = 14,117.30 × 7,707.09
4. Step 4: Simplify right side
   10,229.43x = 108,803,301.66
5. Step 5: Solve for x
   x = 108,803,301.66/10,229.43
6. Step 6: Final answer
   x = 10,636.30