Finding the Fourth Proportional to 2,537.49, 3,500.49 and 1,542.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.49 : 3,500.49 = 1,542.42 : x
2. Step 2: Convert to fraction form
   2,537.49/3,500.49 = 1,542.42/x
3. Step 3: Cross multiply
   2,537.49x = 3,500.49 × 1,542.42
4. Step 4: Simplify right side
   2,537.49x = 5,399,225.79
5. Step 5: Solve for x
   x = 5,399,225.79/2,537.49
6. Step 6: Final answer
   x = 2,127.78