Finding the Fourth Proportional to 4,196.39, 6,294.56 and 2,004.57

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.39 : 6,294.56 = 2,004.57 : x
2. Step 2: Convert to fraction form
   4,196.39/6,294.56 = 2,004.57/x
3. Step 3: Cross multiply
   4,196.39x = 6,294.56 × 2,004.57
4. Step 4: Simplify right side
   4,196.39x = 12,617,876.12
5. Step 5: Solve for x
   x = 12,617,876.12/4,196.39
6. Step 6: Final answer
   x = 3,006.84