Finding the Fourth Proportional to 4,087.69, 5,644.17 and 3,142

Step by Step Solution

1. Step 1: Write the proportion equation
   4,087.69 : 5,644.17 = 3,142 : x
2. Step 2: Convert to fraction form
   4,087.69/5,644.17 = 3,142/x
3. Step 3: Cross multiply
   4,087.69x = 5,644.17 × 3,142
4. Step 4: Simplify right side
   4,087.69x = 17,733,982.14
5. Step 5: Solve for x
   x = 17,733,982.14/4,087.69
6. Step 6: Final answer
   x = 4,338.39