Finding the Fourth Proportional to 2,026.78, 2,796.88 and 1,142.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.78 : 2,796.88 = 1,142.46 : x
2. Step 2: Convert to fraction form
   2,026.78/2,796.88 = 1,142.46/x
3. Step 3: Cross multiply
   2,026.78x = 2,796.88 × 1,142.46
4. Step 4: Simplify right side
   2,026.78x = 3,195,323.52
5. Step 5: Solve for x
   x = 3,195,323.52/2,026.78
6. Step 6: Final answer
   x = 1,576.55