Finding the Fourth Proportional to 3,825.56, 5,735.86 and 2,069.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.56 : 5,735.86 = 2,069.46 : x
2. Step 2: Convert to fraction form
   3,825.56/5,735.86 = 2,069.46/x
3. Step 3: Cross multiply
   3,825.56x = 5,735.86 × 2,069.46
4. Step 4: Simplify right side
   3,825.56x = 11,870,132.84
5. Step 5: Solve for x
   x = 11,870,132.84/3,825.56
6. Step 6: Final answer
   x = 3,102.85