Finding the Fourth Proportional to 2,767.76, 3,822.81 and 2,020.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.76 : 3,822.81 = 2,020.58 : x
2. Step 2: Convert to fraction form
   2,767.76/3,822.81 = 2,020.58/x
3. Step 3: Cross multiply
   2,767.76x = 3,822.81 × 2,020.58
4. Step 4: Simplify right side
   2,767.76x = 7,724,293.43
5. Step 5: Solve for x
   x = 7,724,293.43/2,767.76
6. Step 6: Final answer
   x = 2,790.81