Finding the Fourth Proportional to 9,826.08, 13,561.36 and 5,578.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.08 : 13,561.36 = 5,578.16 : x
2. Step 2: Convert to fraction form
   9,826.08/13,561.36 = 5,578.16/x
3. Step 3: Cross multiply
   9,826.08x = 13,561.36 × 5,578.16
4. Step 4: Simplify right side
   9,826.08x = 75,647,435.90
5. Step 5: Solve for x
   x = 75,647,435.90/9,826.08
6. Step 6: Final answer
   x = 7,698.64