Finding the Fourth Proportional to 2,561.63, 3,535.05 and 1,442.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.63 : 3,535.05 = 1,442.57 : x
2. Step 2: Convert to fraction form
   2,561.63/3,535.05 = 1,442.57/x
3. Step 3: Cross multiply
   2,561.63x = 3,535.05 × 1,442.57
4. Step 4: Simplify right side
   2,561.63x = 5,099,557.08
5. Step 5: Solve for x
   x = 5,099,557.08/2,561.63
6. Step 6: Final answer
   x = 1,990.75