Finding the Fourth Proportional to 1,016.58, 1,524.69 and 285.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.58 : 1,524.69 = 285.99 : x
2. Step 2: Convert to fraction form
   1,016.58/1,524.69 = 285.99/x
3. Step 3: Cross multiply
   1,016.58x = 1,524.69 × 285.99
4. Step 4: Simplify right side
   1,016.58x = 436,041.45
5. Step 5: Solve for x
   x = 436,041.45/1,016.58
6. Step 6: Final answer
   x = 428.93