Finding the Fourth Proportional to 2,561.75, 3,535.42 and 1,442.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.75 : 3,535.42 = 1,442.62 : x
2. Step 2: Convert to fraction form
   2,561.75/3,535.42 = 1,442.62/x
3. Step 3: Cross multiply
   2,561.75x = 3,535.42 × 1,442.62
4. Step 4: Simplify right side
   2,561.75x = 5,100,280.15
5. Step 5: Solve for x
   x = 5,100,280.15/2,561.75
6. Step 6: Final answer
   x = 1,990.93