Finding the Fourth Proportional to 1,496.34, 2,243.43 and 522.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.34 : 2,243.43 = 522.18 : x
2. Step 2: Convert to fraction form
   1,496.34/2,243.43 = 522.18/x
3. Step 3: Cross multiply
   1,496.34x = 2,243.43 × 522.18
4. Step 4: Simplify right side
   1,496.34x = 1,171,474.28
5. Step 5: Solve for x
   x = 1,171,474.28/1,496.34
6. Step 6: Final answer
   x = 782.89