Finding the Fourth Proportional to 3,838.05, 5,758.83 and 1,648.08

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.05 : 5,758.83 = 1,648.08 : x
2. Step 2: Convert to fraction form
   3,838.05/5,758.83 = 1,648.08/x
3. Step 3: Cross multiply
   3,838.05x = 5,758.83 × 1,648.08
4. Step 4: Simplify right side
   3,838.05x = 9,491,012.55
5. Step 5: Solve for x
   x = 9,491,012.55/3,838.05
6. Step 6: Final answer
   x = 2,472.87