Finding the Fourth Proportional to 2,026.32, 2,796.24 and 1,142.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.32 : 2,796.24 = 1,142.16 : x
2. Step 2: Convert to fraction form
   2,026.32/2,796.24 = 1,142.16/x
3. Step 3: Cross multiply
   2,026.32x = 2,796.24 × 1,142.16
4. Step 4: Simplify right side
   2,026.32x = 3,193,753.48
5. Step 5: Solve for x
   x = 3,193,753.48/2,026.32
6. Step 6: Final answer
   x = 1,576.13