Finding the Fourth Proportional to 9,627.86, 13,289.58 and 5,648.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.86 : 13,289.58 = 5,648.87 : x
2. Step 2: Convert to fraction form
   9,627.86/13,289.58 = 5,648.87/x
3. Step 3: Cross multiply
   9,627.86x = 13,289.58 × 5,648.87
4. Step 4: Simplify right side
   9,627.86x = 75,071,043.33
5. Step 5: Solve for x
   x = 75,071,043.33/9,627.86
6. Step 6: Final answer
   x = 7,797.28