Finding the Fourth Proportional to 2,089.97, 2,884.20 and 1,205.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.97 : 2,884.20 = 1,205.82 : x
2. Step 2: Convert to fraction form
   2,089.97/2,884.20 = 1,205.82/x
3. Step 3: Cross multiply
   2,089.97x = 2,884.20 × 1,205.82
4. Step 4: Simplify right side
   2,089.97x = 3,477,826.04
5. Step 5: Solve for x
   x = 3,477,826.04/2,089.97
6. Step 6: Final answer
   x = 1,664.06