Finding the Fourth Proportional to 2,557.89, 3,836.01 and 1,096.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.89 : 3,836.01 = 1,096.65 : x
2. Step 2: Convert to fraction form
   2,557.89/3,836.01 = 1,096.65/x
3. Step 3: Cross multiply
   2,557.89x = 3,836.01 × 1,096.65
4. Step 4: Simplify right side
   2,557.89x = 4,206,760.37
5. Step 5: Solve for x
   x = 4,206,760.37/2,557.89
6. Step 6: Final answer
   x = 1,644.62