Finding the Fourth Proportional to 2,768.42, 4,152.86 and 820.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.42 : 4,152.86 = 820.63 : x
2. Step 2: Convert to fraction form
   2,768.42/4,152.86 = 820.63/x
3. Step 3: Cross multiply
   2,768.42x = 4,152.86 × 820.63
4. Step 4: Simplify right side
   2,768.42x = 3,407,940.74
5. Step 5: Solve for x
   x = 3,407,940.74/2,768.42
6. Step 6: Final answer
   x = 1,231.01