Finding the Fourth Proportional to 2,269.78, 3,399.27 and 1,577.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.78 : 3,399.27 = 1,577.14 : x
2. Step 2: Convert to fraction form
   2,269.78/3,399.27 = 1,577.14/x
3. Step 3: Cross multiply
   2,269.78x = 3,399.27 × 1,577.14
4. Step 4: Simplify right side
   2,269.78x = 5,361,124.69
5. Step 5: Solve for x
   x = 5,361,124.69/2,269.78
6. Step 6: Final answer
   x = 2,361.96