Finding the Fourth Proportional to 2,022.09, 2,789.82 and 1,648.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.09 : 2,789.82 = 1,648.43 : x
2. Step 2: Convert to fraction form
   2,022.09/2,789.82 = 1,648.43/x
3. Step 3: Cross multiply
   2,022.09x = 2,789.82 × 1,648.43
4. Step 4: Simplify right side
   2,022.09x = 4,598,800.79
5. Step 5: Solve for x
   x = 4,598,800.79/2,022.09
6. Step 6: Final answer
   x = 2,274.28