Finding the Fourth Proportional to 9,826.84, 13,561.29 and 5,578.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.84 : 13,561.29 = 5,578.21 : x
2. Step 2: Convert to fraction form
   9,826.84/13,561.29 = 5,578.21/x
3. Step 3: Cross multiply
   9,826.84x = 13,561.29 × 5,578.21
4. Step 4: Simplify right side
   9,826.84x = 75,647,723.49
5. Step 5: Solve for x
   x = 75,647,723.49/9,826.84
6. Step 6: Final answer
   x = 7,698.07