Finding the Fourth Proportional to 9,638.47, 13,300.82 and 5,389.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.47 : 13,300.82 = 5,389.54 : x
2. Step 2: Convert to fraction form
   9,638.47/13,300.82 = 5,389.54/x
3. Step 3: Cross multiply
   9,638.47x = 13,300.82 × 5,389.54
4. Step 4: Simplify right side
   9,638.47x = 71,685,301.42
5. Step 5: Solve for x
   x = 71,685,301.42/9,638.47
6. Step 6: Final answer
   x = 7,437.42