Finding the Fourth Proportional to 1,496.72, 2,245.24 and 522.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.72 : 2,245.24 = 522.56 : x
2. Step 2: Convert to fraction form
   1,496.72/2,245.24 = 522.56/x
3. Step 3: Cross multiply
   1,496.72x = 2,245.24 × 522.56
4. Step 4: Simplify right side
   1,496.72x = 1,173,272.61
5. Step 5: Solve for x
   x = 1,173,272.61/1,496.72
6. Step 6: Final answer
   x = 783.90