Finding the Fourth Proportional to 2,771.69, 4,156.83 and 823.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,771.69 : 4,156.83 = 823.44 : x
2. Step 2: Convert to fraction form
   2,771.69/4,156.83 = 823.44/x
3. Step 3: Cross multiply
   2,771.69x = 4,156.83 × 823.44
4. Step 4: Simplify right side
   2,771.69x = 3,422,885.59
5. Step 5: Solve for x
   x = 3,422,885.59/2,771.69
6. Step 6: Final answer
   x = 1,234.95