Finding the Fourth Proportional to 2,577.82, 3,866.60 and 728.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.82 : 3,866.60 = 728.69 : x
2. Step 2: Convert to fraction form
   2,577.82/3,866.60 = 728.69/x
3. Step 3: Cross multiply
   2,577.82x = 3,866.60 × 728.69
4. Step 4: Simplify right side
   2,577.82x = 2,817,552.75
5. Step 5: Solve for x
   x = 2,817,552.75/2,577.82
6. Step 6: Final answer
   x = 1,093.00