Finding the Fourth Proportional to 9,838.96, 13,578.72 and 5,647.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.96 : 13,578.72 = 5,647.12 : x
2. Step 2: Convert to fraction form
   9,838.96/13,578.72 = 5,647.12/x
3. Step 3: Cross multiply
   9,838.96x = 13,578.72 × 5,647.12
4. Step 4: Simplify right side
   9,838.96x = 76,680,661.29
5. Step 5: Solve for x
   x = 76,680,661.29/9,838.96
6. Step 6: Final answer
   x = 7,793.57