Finding the Fourth Proportional to 2,443.50, 3,662.82 and 1,142.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,443.50 : 3,662.82 = 1,142.64 : x
2. Step 2: Convert to fraction form
   2,443.50/3,662.82 = 1,142.64/x
3. Step 3: Cross multiply
   2,443.50x = 3,662.82 × 1,142.64
4. Step 4: Simplify right side
   2,443.50x = 4,185,284.64
5. Step 5: Solve for x
   x = 4,185,284.64/2,443.50
6. Step 6: Final answer
   x = 1,712.82