Finding the Fourth Proportional to 2,771.86, 4,158.42 and 823.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,771.86 : 4,158.42 = 823.99 : x
2. Step 2: Convert to fraction form
   2,771.86/4,158.42 = 823.99/x
3. Step 3: Cross multiply
   2,771.86x = 4,158.42 × 823.99
4. Step 4: Simplify right side
   2,771.86x = 3,426,496.50
5. Step 5: Solve for x
   x = 3,426,496.50/2,771.86
6. Step 6: Final answer
   x = 1,236.17