Finding the Fourth Proportional to 2,563.57, 3,537.91 and 1,429.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.57 : 3,537.91 = 1,429.42 : x
2. Step 2: Convert to fraction form
   2,563.57/3,537.91 = 1,429.42/x
3. Step 3: Cross multiply
   2,563.57x = 3,537.91 × 1,429.42
4. Step 4: Simplify right side
   2,563.57x = 5,057,159.31
5. Step 5: Solve for x
   x = 5,057,159.31/2,563.57
6. Step 6: Final answer
   x = 1,972.70