Finding the Fourth Proportional to 2,049.48, 3,072.74 and 816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.48 : 3,072.74 = 816.50 : x
2. Step 2: Convert to fraction form
   2,049.48/3,072.74 = 816.50/x
3. Step 3: Cross multiply
   2,049.48x = 3,072.74 × 816.50
4. Step 4: Simplify right side
   2,049.48x = 2,508,892.21
5. Step 5: Solve for x
   x = 2,508,892.21/2,049.48
6. Step 6: Final answer
   x = 1,224.16