Finding the Fourth Proportional to 2,007.57, 3,015.97 and 1,424.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.57 : 3,015.97 = 1,424.02 : x
2. Step 2: Convert to fraction form
   2,007.57/3,015.97 = 1,424.02/x
3. Step 3: Cross multiply
   2,007.57x = 3,015.97 × 1,424.02
4. Step 4: Simplify right side
   2,007.57x = 4,294,786.52
5. Step 5: Solve for x
   x = 4,294,786.52/2,007.57
6. Step 6: Final answer
   x = 2,139.30