Finding the Fourth Proportional to 2,149.38, 2,966.00 and 1,205.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.38 : 2,966.00 = 1,205.33 : x
2. Step 2: Convert to fraction form
   2,149.38/2,966.00 = 1,205.33/x
3. Step 3: Cross multiply
   2,149.38x = 2,966.00 × 1,205.33
4. Step 4: Simplify right side
   2,149.38x = 3,574,987.92
5. Step 5: Solve for x
   x = 3,574,987.92/2,149.38
6. Step 6: Final answer
   x = 1,663.26