Finding the Fourth Proportional to 2,049.77, 3,072.38 and 816.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.77 : 3,072.38 = 816.86 : x
2. Step 2: Convert to fraction form
   2,049.77/3,072.38 = 816.86/x
3. Step 3: Cross multiply
   2,049.77x = 3,072.38 × 816.86
4. Step 4: Simplify right side
   2,049.77x = 2,509,707.92
5. Step 5: Solve for x
   x = 2,509,707.92/2,049.77
6. Step 6: Final answer
   x = 1,224.38