Finding the Fourth Proportional to 1,496.42, 2,244.59 and 522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.42 : 2,244.59 = 522.50 : x
2. Step 2: Convert to fraction form
   1,496.42/2,244.59 = 522.50/x
3. Step 3: Cross multiply
   1,496.42x = 2,244.59 × 522.50
4. Step 4: Simplify right side
   1,496.42x = 1,172,801.96
5. Step 5: Solve for x
   x = 1,172,801.96/1,496.42
6. Step 6: Final answer
   x = 783.74