Finding the Fourth Proportional to 2,026.16, 2,796.09 and 1,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.16 : 2,796.09 = 1,142.25 : x
2. Step 2: Convert to fraction form
   2,026.16/2,796.09 = 1,142.25/x
3. Step 3: Cross multiply
   2,026.16x = 2,796.09 × 1,142.25
4. Step 4: Simplify right side
   2,026.16x = 3,193,834.76
5. Step 5: Solve for x
   x = 3,193,834.76/2,026.16
6. Step 6: Final answer
   x = 1,576.30