Finding the Fourth Proportional to 2,542.10, 3,809.50 and 1,444.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.10 : 3,809.50 = 1,444.14 : x
2. Step 2: Convert to fraction form
   2,542.10/3,809.50 = 1,444.14/x
3. Step 3: Cross multiply
   2,542.10x = 3,809.50 × 1,444.14
4. Step 4: Simplify right side
   2,542.10x = 5,501,451.33
5. Step 5: Solve for x
   x = 5,501,451.33/2,542.10
6. Step 6: Final answer
   x = 2,164.14