Finding the Fourth Proportional to 6,097.05, 8,414.81 and 3,580.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.05 : 8,414.81 = 3,580.54 : x
2. Step 2: Convert to fraction form
   6,097.05/8,414.81 = 3,580.54/x
3. Step 3: Cross multiply
   6,097.05x = 8,414.81 × 3,580.54
4. Step 4: Simplify right side
   6,097.05x = 30,129,563.80
5. Step 5: Solve for x
   x = 30,129,563.80/6,097.05
6. Step 6: Final answer
   x = 4,941.66