Finding the Fourth Proportional to 3,839.67, 5,759.57 and 1,648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.67 : 5,759.57 = 1,648.42 : x
2. Step 2: Convert to fraction form
   3,839.67/5,759.57 = 1,648.42/x
3. Step 3: Cross multiply
   3,839.67x = 5,759.57 × 1,648.42
4. Step 4: Simplify right side
   3,839.67x = 9,494,180.10
5. Step 5: Solve for x
   x = 9,494,180.10/3,839.67
6. Step 6: Final answer
   x = 2,472.66