Finding the Fourth Proportional to 2,576.82, 3,865.10 and 727.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.82 : 3,865.10 = 727.69 : x
2. Step 2: Convert to fraction form
   2,576.82/3,865.10 = 727.69/x
3. Step 3: Cross multiply
   2,576.82x = 3,865.10 × 727.69
4. Step 4: Simplify right side
   2,576.82x = 2,812,591.54
5. Step 5: Solve for x
   x = 2,812,591.54/2,576.82
6. Step 6: Final answer
   x = 1,091.50