Finding the Fourth Proportional to 3,828.51, 5,744.52 and 2,271.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.51 : 5,744.52 = 2,271.60 : x
2. Step 2: Convert to fraction form
   3,828.51/5,744.52 = 2,271.60/x
3. Step 3: Cross multiply
   3,828.51x = 5,744.52 × 2,271.60
4. Step 4: Simplify right side
   3,828.51x = 13,049,251.63
5. Step 5: Solve for x
   x = 13,049,251.63/3,828.51
6. Step 6: Final answer
   x = 3,408.44