Finding the Fourth Proportional to 1,216.23, 1,822.82 and 522.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.23 : 1,822.82 = 522.09 : x
2. Step 2: Convert to fraction form
   1,216.23/1,822.82 = 522.09/x
3. Step 3: Cross multiply
   1,216.23x = 1,822.82 × 522.09
4. Step 4: Simplify right side
   1,216.23x = 951,673.48
5. Step 5: Solve for x
   x = 951,673.48/1,216.23
6. Step 6: Final answer
   x = 782.48