Finding the Fourth Proportional to 2,026.90, 2,796.99 and 1,142.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.90 : 2,796.99 = 1,142.68 : x
2. Step 2: Convert to fraction form
   2,026.90/2,796.99 = 1,142.68/x
3. Step 3: Cross multiply
   2,026.90x = 2,796.99 × 1,142.68
4. Step 4: Simplify right side
   2,026.90x = 3,196,064.53
5. Step 5: Solve for x
   x = 3,196,064.53/2,026.90
6. Step 6: Final answer
   x = 1,576.82