Finding the Fourth Proportional to 2,561.34, 3,534.65 and 1,442.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.34 : 3,534.65 = 1,442.30 : x
2. Step 2: Convert to fraction form
   2,561.34/3,534.65 = 1,442.30/x
3. Step 3: Cross multiply
   2,561.34x = 3,534.65 × 1,442.30
4. Step 4: Simplify right side
   2,561.34x = 5,098,000.81
5. Step 5: Solve for x
   x = 5,098,000.81/2,561.34
6. Step 6: Final answer
   x = 1,990.36