Finding the Fourth Proportional to 2,149.82, 2,966.50 and 1,205.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.82 : 2,966.50 = 1,205.61 : x
2. Step 2: Convert to fraction form
   2,149.82/2,966.50 = 1,205.61/x
3. Step 3: Cross multiply
   2,149.82x = 2,966.50 × 1,205.61
4. Step 4: Simplify right side
   2,149.82x = 3,576,437.40
5. Step 5: Solve for x
   x = 3,576,437.40/2,149.82
6. Step 6: Final answer
   x = 1,663.60