Finding the Fourth Proportional to 3,828.57, 5,744.50 and 1,855.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.57 : 5,744.50 = 1,855.69 : x
2. Step 2: Convert to fraction form
   3,828.57/5,744.50 = 1,855.69/x
3. Step 3: Cross multiply
   3,828.57x = 5,744.50 × 1,855.69
4. Step 4: Simplify right side
   3,828.57x = 10,659,992.20
5. Step 5: Solve for x
   x = 10,659,992.20/3,828.57
6. Step 6: Final answer
   x = 2,784.33