Finding the Fourth Proportional to 6,097.09, 8,414.01 and 3,302.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.09 : 8,414.01 = 3,302.59 : x
2. Step 2: Convert to fraction form
   6,097.09/8,414.01 = 3,302.59/x
3. Step 3: Cross multiply
   6,097.09x = 8,414.01 × 3,302.59
4. Step 4: Simplify right side
   6,097.09x = 27,788,025.29
5. Step 5: Solve for x
   x = 27,788,025.29/6,097.09
6. Step 6: Final answer
   x = 4,557.59