Finding the Fourth Proportional to 2,497.89, 3,744.68 and 1,200.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,497.89 : 3,744.68 = 1,200.27 : x
2. Step 2: Convert to fraction form
   2,497.89/3,744.68 = 1,200.27/x
3. Step 3: Cross multiply
   2,497.89x = 3,744.68 × 1,200.27
4. Step 4: Simplify right side
   2,497.89x = 4,494,621.06
5. Step 5: Solve for x
   x = 4,494,621.06/2,497.89
6. Step 6: Final answer
   x = 1,799.37