Finding the Fourth Proportional to 9,627.09, 13,285.50 and 5,648.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.09 : 13,285.50 = 5,648.27 : x
2. Step 2: Convert to fraction form
   9,627.09/13,285.50 = 5,648.27/x
3. Step 3: Cross multiply
   9,627.09x = 13,285.50 × 5,648.27
4. Step 4: Simplify right side
   9,627.09x = 75,040,062.84
5. Step 5: Solve for x
   x = 75,040,062.84/9,627.09
6. Step 6: Final answer
   x = 7,794.68