Finding the Fourth Proportional to 2,048.55, 3,074.57 and 816.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.55 : 3,074.57 = 816.82 : x
2. Step 2: Convert to fraction form
   2,048.55/3,074.57 = 816.82/x
3. Step 3: Cross multiply
   2,048.55x = 3,074.57 × 816.82
4. Step 4: Simplify right side
   2,048.55x = 2,511,370.27
5. Step 5: Solve for x
   x = 2,511,370.27/2,048.55
6. Step 6: Final answer
   x = 1,225.93