Finding the Fourth Proportional to 9,638.82, 13,301.54 and 5,389.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.82 : 13,301.54 = 5,389.88 : x
2. Step 2: Convert to fraction form
   9,638.82/13,301.54 = 5,389.88/x
3. Step 3: Cross multiply
   9,638.82x = 13,301.54 × 5,389.88
4. Step 4: Simplify right side
   9,638.82x = 71,693,704.42
5. Step 5: Solve for x
   x = 71,693,704.42/9,638.82
6. Step 6: Final answer
   x = 7,438.02