Finding the Fourth Proportional to 2,002.33, 2,763.33 and 1,205.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.33 : 2,763.33 = 1,205.80 : x
2. Step 2: Convert to fraction form
   2,002.33/2,763.33 = 1,205.80/x
3. Step 3: Cross multiply
   2,002.33x = 2,763.33 × 1,205.80
4. Step 4: Simplify right side
   2,002.33x = 3,332,016.41
5. Step 5: Solve for x
   x = 3,332,016.41/2,002.33
6. Step 6: Final answer
   x = 1,664.07