Finding the Fourth Proportional to 9,638.81, 13,301.39 and 5,446.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.81 : 13,301.39 = 5,446.97 : x
2. Step 2: Convert to fraction form
   9,638.81/13,301.39 = 5,446.97/x
3. Step 3: Cross multiply
   9,638.81x = 13,301.39 × 5,446.97
4. Step 4: Simplify right side
   9,638.81x = 72,452,245.05
5. Step 5: Solve for x
   x = 72,452,245.05/9,638.81
6. Step 6: Final answer
   x = 7,516.72