Finding the Fourth Proportional to 2,026.14, 2,796.42 and 1,279.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.14 : 2,796.42 = 1,279.86 : x
2. Step 2: Convert to fraction form
   2,026.14/2,796.42 = 1,279.86/x
3. Step 3: Cross multiply
   2,026.14x = 2,796.42 × 1,279.86
4. Step 4: Simplify right side
   2,026.14x = 3,579,026.10
5. Step 5: Solve for x
   x = 3,579,026.10/2,026.14
6. Step 6: Final answer
   x = 1,766.43