Finding the Fourth Proportional to 2,578.14, 3,866.51 and 728.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.14 : 3,866.51 = 728.82 : x
2. Step 2: Convert to fraction form
   2,578.14/3,866.51 = 728.82/x
3. Step 3: Cross multiply
   2,578.14x = 3,866.51 × 728.82
4. Step 4: Simplify right side
   2,578.14x = 2,817,972.31
5. Step 5: Solve for x
   x = 2,817,972.31/2,578.14
6. Step 6: Final answer
   x = 1,093.03