Finding the Fourth Proportional to 2,149.72, 2,965.94 and 1,205.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.72 : 2,965.94 = 1,205.40 : x
2. Step 2: Convert to fraction form
   2,149.72/2,965.94 = 1,205.40/x
3. Step 3: Cross multiply
   2,149.72x = 2,965.94 × 1,205.40
4. Step 4: Simplify right side
   2,149.72x = 3,575,144.08
5. Step 5: Solve for x
   x = 3,575,144.08/2,149.72
6. Step 6: Final answer
   x = 1,663.07