Finding the Fourth Proportional to 2,089.33, 2,882.69 and 1,645.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.33 : 2,882.69 = 1,645.85 : x
2. Step 2: Convert to fraction form
   2,089.33/2,882.69 = 1,645.85/x
3. Step 3: Cross multiply
   2,089.33x = 2,882.69 × 1,645.85
4. Step 4: Simplify right side
   2,089.33x = 4,744,480.49
5. Step 5: Solve for x
   x = 4,744,480.49/2,089.33
6. Step 6: Final answer
   x = 2,270.82