Finding the Fourth Proportional to 2,577.23, 3,865.36 and 1,096.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.23 : 3,865.36 = 1,096.18 : x
2. Step 2: Convert to fraction form
   2,577.23/3,865.36 = 1,096.18/x
3. Step 3: Cross multiply
   2,577.23x = 3,865.36 × 1,096.18
4. Step 4: Simplify right side
   2,577.23x = 4,237,105.52
5. Step 5: Solve for x
   x = 4,237,105.52/2,577.23
6. Step 6: Final answer
   x = 1,644.05