Finding the Fourth Proportional to 6,097.49, 8,414.43 and 3,408.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.49 : 8,414.43 = 3,408.77 : x
2. Step 2: Convert to fraction form
   6,097.49/8,414.43 = 3,408.77/x
3. Step 3: Cross multiply
   6,097.49x = 8,414.43 × 3,408.77
4. Step 4: Simplify right side
   6,097.49x = 28,682,814.48
5. Step 5: Solve for x
   x = 28,682,814.48/6,097.49
6. Step 6: Final answer
   x = 4,704.04