Finding the Fourth Proportional to 9,638.73, 13,301.25 and 5,389.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.73 : 13,301.25 = 5,389.86 : x
2. Step 2: Convert to fraction form
   9,638.73/13,301.25 = 5,389.86/x
3. Step 3: Cross multiply
   9,638.73x = 13,301.25 × 5,389.86
4. Step 4: Simplify right side
   9,638.73x = 71,691,875.33
5. Step 5: Solve for x
   x = 71,691,875.33/9,638.73
6. Step 6: Final answer
   x = 7,437.90