Finding the Fourth Proportional to 2,006.02, 2,767.20 and 1,408.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.02 : 2,767.20 = 1,408.27 : x
2. Step 2: Convert to fraction form
   2,006.02/2,767.20 = 1,408.27/x
3. Step 3: Cross multiply
   2,006.02x = 2,767.20 × 1,408.27
4. Step 4: Simplify right side
   2,006.02x = 3,896,946.78
5. Step 5: Solve for x
   x = 3,896,946.78/2,006.02
6. Step 6: Final answer
   x = 1,942.63