Finding the Fourth Proportional to 6,778.72, 9,354.96 and 3,983.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,778.72 : 9,354.96 = 3,983.20 : x
2. Step 2: Convert to fraction form
   6,778.72/9,354.96 = 3,983.20/x
3. Step 3: Cross multiply
   6,778.72x = 9,354.96 × 3,983.20
4. Step 4: Simplify right side
   6,778.72x = 37,262,676.67
5. Step 5: Solve for x
   x = 37,262,676.67/6,778.72
6. Step 6: Final answer
   x = 5,497.01