Finding the Fourth Proportional to 2,026.75, 2,796.89 and 1,142.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.75 : 2,796.89 = 1,142.56 : x
2. Step 2: Convert to fraction form
   2,026.75/2,796.89 = 1,142.56/x
3. Step 3: Cross multiply
   2,026.75x = 2,796.89 × 1,142.56
4. Step 4: Simplify right side
   2,026.75x = 3,195,614.64
5. Step 5: Solve for x
   x = 3,195,614.64/2,026.75
6. Step 6: Final answer
   x = 1,576.72