Finding the Fourth Proportional to 9,789.47, 13,509.53 and 5,540.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.47 : 13,509.53 = 5,540.54 : x
2. Step 2: Convert to fraction form
   9,789.47/13,509.53 = 5,540.54/x
3. Step 3: Cross multiply
   9,789.47x = 13,509.53 × 5,540.54
4. Step 4: Simplify right side
   9,789.47x = 74,849,996.10
5. Step 5: Solve for x
   x = 74,849,996.10/9,789.47
6. Step 6: Final answer
   x = 7,645.97