Finding the Fourth Proportional to 2,057.84, 3,086.78 and 1,646.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.84 : 3,086.78 = 1,646.44 : x
2. Step 2: Convert to fraction form
   2,057.84/3,086.78 = 1,646.44/x
3. Step 3: Cross multiply
   2,057.84x = 3,086.78 × 1,646.44
4. Step 4: Simplify right side
   2,057.84x = 5,082,198.06
5. Step 5: Solve for x
   x = 5,082,198.06/2,057.84
6. Step 6: Final answer
   x = 2,469.68