Finding the Fourth Proportional to 9,648.38, 13,322.32 and 7,406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.38 : 13,322.32 = 7,406.71 : x
2. Step 2: Convert to fraction form
   9,648.38/13,322.32 = 7,406.71/x
3. Step 3: Cross multiply
   9,648.38x = 13,322.32 × 7,406.71
4. Step 4: Simplify right side
   9,648.38x = 98,674,508.94
5. Step 5: Solve for x
   x = 98,674,508.94/9,648.38
6. Step 6: Final answer
   x = 10,227.05