Finding the Fourth Proportional to 2,026.16, 2,796.30 and 1,142.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.16 : 2,796.30 = 1,142.24 : x
2. Step 2: Convert to fraction form
   2,026.16/2,796.30 = 1,142.24/x
3. Step 3: Cross multiply
   2,026.16x = 2,796.30 × 1,142.24
4. Step 4: Simplify right side
   2,026.16x = 3,194,045.71
5. Step 5: Solve for x
   x = 3,194,045.71/2,026.16
6. Step 6: Final answer
   x = 1,576.40