Finding the Fourth Proportional to 1,074.43, 1,609.78 and 488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.43 : 1,609.78 = 488.50 : x
2. Step 2: Convert to fraction form
   1,074.43/1,609.78 = 488.50/x
3. Step 3: Cross multiply
   1,074.43x = 1,609.78 × 488.50
4. Step 4: Simplify right side
   1,074.43x = 786,377.53
5. Step 5: Solve for x
   x = 786,377.53/1,074.43
6. Step 6: Final answer
   x = 731.90