Finding the Fourth Proportional to 2,026.24, 2,796.16 and 1,142.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.24 : 2,796.16 = 1,142.02 : x
2. Step 2: Convert to fraction form
   2,026.24/2,796.16 = 1,142.02/x
3. Step 3: Cross multiply
   2,026.24x = 2,796.16 × 1,142.02
4. Step 4: Simplify right side
   2,026.24x = 3,193,270.64
5. Step 5: Solve for x
   x = 3,193,270.64/2,026.24
6. Step 6: Final answer
   x = 1,575.96