Finding the Fourth Proportional to 2,561.64, 3,535.06 and 1,442.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.64 : 3,535.06 = 1,442.58 : x
2. Step 2: Convert to fraction form
   2,561.64/3,535.06 = 1,442.58/x
3. Step 3: Cross multiply
   2,561.64x = 3,535.06 × 1,442.58
4. Step 4: Simplify right side
   2,561.64x = 5,099,606.85
5. Step 5: Solve for x
   x = 5,099,606.85/2,561.64
6. Step 6: Final answer
   x = 1,990.76