Finding the Fourth Proportional to 5,567.67, 7,676.78 and 3,578.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,567.67 : 7,676.78 = 3,578.31 : x
2. Step 2: Convert to fraction form
   5,567.67/7,676.78 = 3,578.31/x
3. Step 3: Cross multiply
   5,567.67x = 7,676.78 × 3,578.31
4. Step 4: Simplify right side
   5,567.67x = 27,469,880.75
5. Step 5: Solve for x
   x = 27,469,880.75/5,567.67
6. Step 6: Final answer
   x = 4,933.82