Finding the Fourth Proportional to 2,026.38, 2,796.42 and 1,142.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.38 : 2,796.42 = 1,142.10 : x
2. Step 2: Convert to fraction form
   2,026.38/2,796.42 = 1,142.10/x
3. Step 3: Cross multiply
   2,026.38x = 2,796.42 × 1,142.10
4. Step 4: Simplify right side
   2,026.38x = 3,193,791.28
5. Step 5: Solve for x
   x = 3,193,791.28/2,026.38
6. Step 6: Final answer
   x = 1,576.11