Finding the Fourth Proportional to 3,828.56, 5,743.04 and 1,196.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.56 : 5,743.04 = 1,196.42 : x
2. Step 2: Convert to fraction form
   3,828.56/5,743.04 = 1,196.42/x
3. Step 3: Cross multiply
   3,828.56x = 5,743.04 × 1,196.42
4. Step 4: Simplify right side
   3,828.56x = 6,871,087.92
5. Step 5: Solve for x
   x = 6,871,087.92/3,828.56
6. Step 6: Final answer
   x = 1,794.69