Finding the Fourth Proportional to 1,496.62, 2,245.50 and 522.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.62 : 2,245.50 = 522.82 : x
2. Step 2: Convert to fraction form
   1,496.62/2,245.50 = 522.82/x
3. Step 3: Cross multiply
   1,496.62x = 2,245.50 × 522.82
4. Step 4: Simplify right side
   1,496.62x = 1,173,992.31
5. Step 5: Solve for x
   x = 1,173,992.31/1,496.62
6. Step 6: Final answer
   x = 784.43