Finding the Fourth Proportional to 2,577.50, 3,866.49 and 728.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.50 : 3,866.49 = 728.67 : x
2. Step 2: Convert to fraction form
   2,577.50/3,866.49 = 728.67/x
3. Step 3: Cross multiply
   2,577.50x = 3,866.49 × 728.67
4. Step 4: Simplify right side
   2,577.50x = 2,817,395.27
5. Step 5: Solve for x
   x = 2,817,395.27/2,577.50
6. Step 6: Final answer
   x = 1,093.07