Finding the Fourth Proportional to 2,142.65, 3,209.73 and 1,678.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.65 : 3,209.73 = 1,678.27 : x
2. Step 2: Convert to fraction form
   2,142.65/3,209.73 = 1,678.27/x
3. Step 3: Cross multiply
   2,142.65x = 3,209.73 × 1,678.27
4. Step 4: Simplify right side
   2,142.65x = 5,386,777.52
5. Step 5: Solve for x
   x = 5,386,777.52/2,142.65
6. Step 6: Final answer
   x = 2,514.07