Finding the Fourth Proportional to 9,627.96, 13,284.36 and 5,648.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.96 : 13,284.36 = 5,648.88 : x
2. Step 2: Convert to fraction form
   9,627.96/13,284.36 = 5,648.88/x
3. Step 3: Cross multiply
   9,627.96x = 13,284.36 × 5,648.88
4. Step 4: Simplify right side
   9,627.96x = 75,041,755.52
5. Step 5: Solve for x
   x = 75,041,755.52/9,627.96
6. Step 6: Final answer
   x = 7,794.15