Finding the Fourth Proportional to 3,828.81, 5,744.59 and 1,882.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.81 : 5,744.59 = 1,882.38 : x
2. Step 2: Convert to fraction form
   3,828.81/5,744.59 = 1,882.38/x
3. Step 3: Cross multiply
   3,828.81x = 5,744.59 × 1,882.38
4. Step 4: Simplify right side
   3,828.81x = 10,813,501.32
5. Step 5: Solve for x
   x = 10,813,501.32/3,828.81
6. Step 6: Final answer
   x = 2,824.25