Finding the Fourth Proportional to 3,824.56, 5,732.04 and 2,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,824.56 : 5,732.04 = 2,069.50 : x
2. Step 2: Convert to fraction form
   3,824.56/5,732.04 = 2,069.50/x
3. Step 3: Cross multiply
   3,824.56x = 5,732.04 × 2,069.50
4. Step 4: Simplify right side
   3,824.56x = 11,862,456.78
5. Step 5: Solve for x
   x = 11,862,456.78/3,824.56
6. Step 6: Final answer
   x = 3,101.65