Finding the Fourth Proportional to 2,768.02, 4,152.83 and 820.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.02 : 4,152.83 = 820.27 : x
2. Step 2: Convert to fraction form
   2,768.02/4,152.83 = 820.27/x
3. Step 3: Cross multiply
   2,768.02x = 4,152.83 × 820.27
4. Step 4: Simplify right side
   2,768.02x = 3,406,433.53
5. Step 5: Solve for x
   x = 3,406,433.53/2,768.02
6. Step 6: Final answer
   x = 1,230.64