Finding the Fourth Proportional to 2,768.98, 3,824.50 and 2,021.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.98 : 3,824.50 = 2,021.74 : x
2. Step 2: Convert to fraction form
   2,768.98/3,824.50 = 2,021.74/x
3. Step 3: Cross multiply
   2,768.98x = 3,824.50 × 2,021.74
4. Step 4: Simplify right side
   2,768.98x = 7,732,144.63
5. Step 5: Solve for x
   x = 7,732,144.63/2,768.98
6. Step 6: Final answer
   x = 2,792.42