Finding the Fourth Proportional to 2,022.78, 2,791.70 and 1,138.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.78 : 2,791.70 = 1,138.76 : x
2. Step 2: Convert to fraction form
   2,022.78/2,791.70 = 1,138.76/x
3. Step 3: Cross multiply
   2,022.78x = 2,791.70 × 1,138.76
4. Step 4: Simplify right side
   2,022.78x = 3,179,065.18
5. Step 5: Solve for x
   x = 3,179,065.18/2,022.78
6. Step 6: Final answer
   x = 1,571.63