Finding the Fourth Proportional to 2,008.71, 3,007.83 and 1,616.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,008.71 : 3,007.83 = 1,616.57 : x
2. Step 2: Convert to fraction form
   2,008.71/3,007.83 = 1,616.57/x
3. Step 3: Cross multiply
   2,008.71x = 3,007.83 × 1,616.57
4. Step 4: Simplify right side
   2,008.71x = 4,862,359.66
5. Step 5: Solve for x
   x = 4,862,359.66/2,008.71
6. Step 6: Final answer
   x = 2,420.64