Finding the Fourth Proportional to 3,828.10, 5,754.30 and 3,609.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.10 : 5,754.30 = 3,609.40 : x
2. Step 2: Convert to fraction form
   3,828.10/5,754.30 = 3,609.40/x
3. Step 3: Cross multiply
   3,828.10x = 5,754.30 × 3,609.40
4. Step 4: Simplify right side
   3,828.10x = 20,769,570.42
5. Step 5: Solve for x
   x = 20,769,570.42/3,828.10
6. Step 6: Final answer
   x = 5,425.56