Finding the Fourth Proportional to 9,648.38, 13,315.02 and 5,456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.38 : 13,315.02 = 5,456.72 : x
2. Step 2: Convert to fraction form
   9,648.38/13,315.02 = 5,456.72/x
3. Step 3: Cross multiply
   9,648.38x = 13,315.02 × 5,456.72
4. Step 4: Simplify right side
   9,648.38x = 72,656,335.93
5. Step 5: Solve for x
   x = 72,656,335.93/9,648.38
6. Step 6: Final answer
   x = 7,530.42