Finding the Fourth Proportional to 9,839.60, 13,578.60 and 5,647.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.60 : 13,578.60 = 5,647.76 : x
2. Step 2: Convert to fraction form
   9,839.60/13,578.60 = 5,647.76/x
3. Step 3: Cross multiply
   9,839.60x = 13,578.60 × 5,647.76
4. Step 4: Simplify right side
   9,839.60x = 76,688,673.94
5. Step 5: Solve for x
   x = 76,688,673.94/9,839.60
6. Step 6: Final answer
   x = 7,793.88