Finding the Fourth Proportional to 2,026.26, 2,796.20 and 1,142.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.26 : 2,796.20 = 1,142.06 : x
2. Step 2: Convert to fraction form
   2,026.26/2,796.20 = 1,142.06/x
3. Step 3: Cross multiply
   2,026.26x = 2,796.20 × 1,142.06
4. Step 4: Simplify right side
   2,026.26x = 3,193,408.48
5. Step 5: Solve for x
   x = 3,193,408.48/2,026.26
6. Step 6: Final answer
   x = 1,576.01