Finding the Fourth Proportional to 1,016.63, 1,524.45 and 522.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.63 : 1,524.45 = 522.53 : x
2. Step 2: Convert to fraction form
   1,016.63/1,524.45 = 522.53/x
3. Step 3: Cross multiply
   1,016.63x = 1,524.45 × 522.53
4. Step 4: Simplify right side
   1,016.63x = 796,570.86
5. Step 5: Solve for x
   x = 796,570.86/1,016.63
6. Step 6: Final answer
   x = 783.54