Finding the Fourth Proportional to 1,074.24, 1,600.50 and 1,008

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.24 : 1,600.50 = 1,008 : x
2. Step 2: Convert to fraction form
   1,074.24/1,600.50 = 1,008/x
3. Step 3: Cross multiply
   1,074.24x = 1,600.50 × 1,008
4. Step 4: Simplify right side
   1,074.24x = 1,613,304
5. Step 5: Solve for x
   x = 1,613,304/1,074.24
6. Step 6: Final answer
   x = 1,501.81