Finding the Fourth Proportional to 2,577.02, 3,865.32 and 728.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.02 : 3,865.32 = 728.18 : x
2. Step 2: Convert to fraction form
   2,577.02/3,865.32 = 728.18/x
3. Step 3: Cross multiply
   2,577.02x = 3,865.32 × 728.18
4. Step 4: Simplify right side
   2,577.02x = 2,814,648.72
5. Step 5: Solve for x
   x = 2,814,648.72/2,577.02
6. Step 6: Final answer
   x = 1,092.21