Finding the Fourth Proportional to 2,770.56, 3,825 and 2,028.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.56 : 3,825 = 2,028.42 : x
2. Step 2: Convert to fraction form
   2,770.56/3,825 = 2,028.42/x
3. Step 3: Cross multiply
   2,770.56x = 3,825 × 2,028.42
4. Step 4: Simplify right side
   2,770.56x = 7,758,706.50
5. Step 5: Solve for x
   x = 7,758,706.50/2,770.56
6. Step 6: Final answer
   x = 2,800.41