Finding the Fourth Proportional to 2,149.78, 2,966.59 and 1,205.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.78 : 2,966.59 = 1,205.57 : x
2. Step 2: Convert to fraction form
   2,149.78/2,966.59 = 1,205.57/x
3. Step 3: Cross multiply
   2,149.78x = 2,966.59 × 1,205.57
4. Step 4: Simplify right side
   2,149.78x = 3,576,431.91
5. Step 5: Solve for x
   x = 3,576,431.91/2,149.78
6. Step 6: Final answer
   x = 1,663.63