Finding the Fourth Proportional to 2,767.98, 3,818.46 and 1,648.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.98 : 3,818.46 = 1,648.56 : x
2. Step 2: Convert to fraction form
   2,767.98/3,818.46 = 1,648.56/x
3. Step 3: Cross multiply
   2,767.98x = 3,818.46 × 1,648.56
4. Step 4: Simplify right side
   2,767.98x = 6,294,960.42
5. Step 5: Solve for x
   x = 6,294,960.42/2,767.98
6. Step 6: Final answer
   x = 2,274.21