Finding the Fourth Proportional to 2,026.56, 2,796.36 and 1,142.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.56 : 2,796.36 = 1,142.10 : x
2. Step 2: Convert to fraction form
   2,026.56/2,796.36 = 1,142.10/x
3. Step 3: Cross multiply
   2,026.56x = 2,796.36 × 1,142.10
4. Step 4: Simplify right side
   2,026.56x = 3,193,722.76
5. Step 5: Solve for x
   x = 3,193,722.76/2,026.56
6. Step 6: Final answer
   x = 1,575.93