Finding the Fourth Proportional to 1,016.50, 1,524.74 and 285.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.50 : 1,524.74 = 285.98 : x
2. Step 2: Convert to fraction form
   1,016.50/1,524.74 = 285.98/x
3. Step 3: Cross multiply
   1,016.50x = 1,524.74 × 285.98
4. Step 4: Simplify right side
   1,016.50x = 436,045.15
5. Step 5: Solve for x
   x = 436,045.15/1,016.50
6. Step 6: Final answer
   x = 428.97