Finding the Fourth Proportional to 1,016.34, 1,523.94 and 322.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.34 : 1,523.94 = 322.88 : x
2. Step 2: Convert to fraction form
   1,016.34/1,523.94 = 322.88/x
3. Step 3: Cross multiply
   1,016.34x = 1,523.94 × 322.88
4. Step 4: Simplify right side
   1,016.34x = 492,049.75
5. Step 5: Solve for x
   x = 492,049.75/1,016.34
6. Step 6: Final answer
   x = 484.14