Finding the Fourth Proportional to 6,097.43, 8,414.01 and 3,579.64

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.43 : 8,414.01 = 3,579.64 : x
2. Step 2: Convert to fraction form
   6,097.43/8,414.01 = 3,579.64/x
3. Step 3: Cross multiply
   6,097.43x = 8,414.01 × 3,579.64
4. Step 4: Simplify right side
   6,097.43x = 30,119,105.72
5. Step 5: Solve for x
   x = 30,119,105.72/6,097.43
6. Step 6: Final answer
   x = 4,939.64