Finding the Fourth Proportional to 1,016.30, 1,523.59 and 438.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.30 : 1,523.59 = 438.74 : x
2. Step 2: Convert to fraction form
   1,016.30/1,523.59 = 438.74/x
3. Step 3: Cross multiply
   1,016.30x = 1,523.59 × 438.74
4. Step 4: Simplify right side
   1,016.30x = 668,459.88
5. Step 5: Solve for x
   x = 668,459.88/1,016.30
6. Step 6: Final answer
   x = 657.74