Finding the Fourth Proportional to 2,026.35, 2,796.48 and 1,142.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.35 : 2,796.48 = 1,142.19 : x
2. Step 2: Convert to fraction form
   2,026.35/2,796.48 = 1,142.19/x
3. Step 3: Cross multiply
   2,026.35x = 2,796.48 × 1,142.19
4. Step 4: Simplify right side
   2,026.35x = 3,194,111.49
5. Step 5: Solve for x
   x = 3,194,111.49/2,026.35
6. Step 6: Final answer
   x = 1,576.29