Finding the Fourth Proportional to 2,086.69, 2,879.64 and 1,142.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.69 : 2,879.64 = 1,142.49 : x
2. Step 2: Convert to fraction form
   2,086.69/2,879.64 = 1,142.49/x
3. Step 3: Cross multiply
   2,086.69x = 2,879.64 × 1,142.49
4. Step 4: Simplify right side
   2,086.69x = 3,289,959.90
5. Step 5: Solve for x
   x = 3,289,959.90/2,086.69
6. Step 6: Final answer
   x = 1,576.64