Finding the Fourth Proportional to 2,577.31, 3,866.49 and 1,096.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.31 : 3,866.49 = 1,096.53 : x
2. Step 2: Convert to fraction form
   2,577.31/3,866.49 = 1,096.53/x
3. Step 3: Cross multiply
   2,577.31x = 3,866.49 × 1,096.53
4. Step 4: Simplify right side
   2,577.31x = 4,239,722.28
5. Step 5: Solve for x
   x = 4,239,722.28/2,577.31
6. Step 6: Final answer
   x = 1,645.02