Finding the Fourth Proportional to 2,026.81, 2,796.96 and 1,142.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.81 : 2,796.96 = 1,142.59 : x
2. Step 2: Convert to fraction form
   2,026.81/2,796.96 = 1,142.59/x
3. Step 3: Cross multiply
   2,026.81x = 2,796.96 × 1,142.59
4. Step 4: Simplify right side
   2,026.81x = 3,195,778.53
5. Step 5: Solve for x
   x = 3,195,778.53/2,026.81
6. Step 6: Final answer
   x = 1,576.75