Finding the Fourth Proportional to 9,727.08, 13,447.31 and 9,638.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.08 : 13,447.31 = 9,638.30 : x
2. Step 2: Convert to fraction form
   9,727.08/13,447.31 = 9,638.30/x
3. Step 3: Cross multiply
   9,727.08x = 13,447.31 × 9,638.30
4. Step 4: Simplify right side
   9,727.08x = 129,609,092.54
5. Step 5: Solve for x
   x = 129,609,092.54/9,727.08
6. Step 6: Final answer
   x = 13,324.56