Finding the Fourth Proportional to 1,608.57, 2,414.58 and 1,424.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.57 : 2,414.58 = 1,424.61 : x
2. Step 2: Convert to fraction form
   1,608.57/2,414.58 = 1,424.61/x
3. Step 3: Cross multiply
   1,608.57x = 2,414.58 × 1,424.61
4. Step 4: Simplify right side
   1,608.57x = 3,439,839.27
5. Step 5: Solve for x
   x = 3,439,839.27/1,608.57
6. Step 6: Final answer
   x = 2,138.44