Finding the Fourth Proportional to 2,546, 3,513.48 and 1,442

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546 : 3,513.48 = 1,442 : x
2. Step 2: Convert to fraction form
   2,546/3,513.48 = 1,442/x
3. Step 3: Cross multiply
   2,546x = 3,513.48 × 1,442
4. Step 4: Simplify right side
   2,546x = 5,066,438.16
5. Step 5: Solve for x
   x = 5,066,438.16/2,546
6. Step 6: Final answer
   x = 1,989.96