Finding the Fourth Proportional to 9,638.74, 13,301.24 and 5,389.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.74 : 13,301.24 = 5,389.86 : x
2. Step 2: Convert to fraction form
   9,638.74/13,301.24 = 5,389.86/x
3. Step 3: Cross multiply
   9,638.74x = 13,301.24 × 5,389.86
4. Step 4: Simplify right side
   9,638.74x = 71,691,821.43
5. Step 5: Solve for x
   x = 71,691,821.43/9,638.74
6. Step 6: Final answer
   x = 7,437.88