Finding the Fourth Proportional to 2,561.76, 3,535.29 and 1,442.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.76 : 3,535.29 = 1,442.61 : x
2. Step 2: Convert to fraction form
   2,561.76/3,535.29 = 1,442.61/x
3. Step 3: Cross multiply
   2,561.76x = 3,535.29 × 1,442.61
4. Step 4: Simplify right side
   2,561.76x = 5,100,044.71
5. Step 5: Solve for x
   x = 5,100,044.71/2,561.76
6. Step 6: Final answer
   x = 1,990.84