Finding the Fourth Proportional to 2,459.14, 3,689.31 and 727.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,459.14 : 3,689.31 = 727.78 : x
2. Step 2: Convert to fraction form
   2,459.14/3,689.31 = 727.78/x
3. Step 3: Cross multiply
   2,459.14x = 3,689.31 × 727.78
4. Step 4: Simplify right side
   2,459.14x = 2,685,006.03
5. Step 5: Solve for x
   x = 2,685,006.03/2,459.14
6. Step 6: Final answer
   x = 1,091.85