Finding the Fourth Proportional to 2,768.35, 4,151.81 and 820.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.35 : 4,151.81 = 820.09 : x
2. Step 2: Convert to fraction form
   2,768.35/4,151.81 = 820.09/x
3. Step 3: Cross multiply
   2,768.35x = 4,151.81 × 820.09
4. Step 4: Simplify right side
   2,768.35x = 3,404,868.24
5. Step 5: Solve for x
   x = 3,404,868.24/2,768.35
6. Step 6: Final answer
   x = 1,229.93