Finding the Fourth Proportional to 8,821.24, 12,175.78 and 5,676.28

Step by Step Solution

1. Step 1: Write the proportion equation
   8,821.24 : 12,175.78 = 5,676.28 : x
2. Step 2: Convert to fraction form
   8,821.24/12,175.78 = 5,676.28/x
3. Step 3: Cross multiply
   8,821.24x = 12,175.78 × 5,676.28
4. Step 4: Simplify right side
   8,821.24x = 69,113,136.50
5. Step 5: Solve for x
   x = 69,113,136.50/8,821.24
6. Step 6: Final answer
   x = 7,834.86