Finding the Fourth Proportional to 2,561.57, 3,535.15 and 1,427.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.57 : 3,535.15 = 1,427.42 : x
2. Step 2: Convert to fraction form
   2,561.57/3,535.15 = 1,427.42/x
3. Step 3: Cross multiply
   2,561.57x = 3,535.15 × 1,427.42
4. Step 4: Simplify right side
   2,561.57x = 5,046,136.68
5. Step 5: Solve for x
   x = 5,046,136.68/2,561.57
6. Step 6: Final answer
   x = 1,969.94