Finding the Fourth Proportional to 9,627.30, 13,285.11 and 5,648.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.30 : 13,285.11 = 5,648.10 : x
2. Step 2: Convert to fraction form
   9,627.30/13,285.11 = 5,648.10/x
3. Step 3: Cross multiply
   9,627.30x = 13,285.11 × 5,648.10
4. Step 4: Simplify right side
   9,627.30x = 75,035,629.79
5. Step 5: Solve for x
   x = 75,035,629.79/9,627.30
6. Step 6: Final answer
   x = 7,794.05