Finding the Fourth Proportional to 3,828.37, 5,742.78 and 1,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.37 : 5,742.78 = 1,196.25 : x
2. Step 2: Convert to fraction form
   3,828.37/5,742.78 = 1,196.25/x
3. Step 3: Cross multiply
   3,828.37x = 5,742.78 × 1,196.25
4. Step 4: Simplify right side
   3,828.37x = 6,869,800.58
5. Step 5: Solve for x
   x = 6,869,800.58/3,828.37
6. Step 6: Final answer
   x = 1,794.45