Finding the Fourth Proportional to 3,834.72, 5,747.54 and 1,638.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.72 : 5,747.54 = 1,638.81 : x
2. Step 2: Convert to fraction form
   3,834.72/5,747.54 = 1,638.81/x
3. Step 3: Cross multiply
   3,834.72x = 5,747.54 × 1,638.81
4. Step 4: Simplify right side
   3,834.72x = 9,419,117.83
5. Step 5: Solve for x
   x = 9,419,117.83/3,834.72
6. Step 6: Final answer
   x = 2,456.27