Finding the Fourth Proportional to 1,287.50, 1,776.76 and 727.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.50 : 1,776.76 = 727.98 : x
2. Step 2: Convert to fraction form
   1,287.50/1,776.76 = 727.98/x
3. Step 3: Cross multiply
   1,287.50x = 1,776.76 × 727.98
4. Step 4: Simplify right side
   1,287.50x = 1,293,436.86
5. Step 5: Solve for x
   x = 1,293,436.86/1,287.50
6. Step 6: Final answer
   x = 1,004.62