Finding the Fourth Proportional to 1,294.86, 1,786.78 and 727.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.86 : 1,786.78 = 727.72 : x
2. Step 2: Convert to fraction form
   1,294.86/1,786.78 = 727.72/x
3. Step 3: Cross multiply
   1,294.86x = 1,786.78 × 727.72
4. Step 4: Simplify right side
   1,294.86x = 1,300,275.54
5. Step 5: Solve for x
   x = 1,300,275.54/1,294.86
6. Step 6: Final answer
   x = 1,004.18