Finding the Fourth Proportional to 2,026.28, 2,796.54 and 1,142.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.28 : 2,796.54 = 1,142.26 : x
2. Step 2: Convert to fraction form
   2,026.28/2,796.54 = 1,142.26/x
3. Step 3: Cross multiply
   2,026.28x = 2,796.54 × 1,142.26
4. Step 4: Simplify right side
   2,026.28x = 3,194,375.78
5. Step 5: Solve for x
   x = 3,194,375.78/2,026.28
6. Step 6: Final answer
   x = 1,576.47