Finding the Fourth Proportional to 2,561.49, 3,534.63 and 1,442.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.49 : 3,534.63 = 1,442.37 : x
2. Step 2: Convert to fraction form
   2,561.49/3,534.63 = 1,442.37/x
3. Step 3: Cross multiply
   2,561.49x = 3,534.63 × 1,442.37
4. Step 4: Simplify right side
   2,561.49x = 5,098,244.27
5. Step 5: Solve for x
   x = 5,098,244.27/2,561.49
6. Step 6: Final answer
   x = 1,990.34