Finding the Fourth Proportional to 1,151.67, 1,727.37 and 458.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.67 : 1,727.37 = 458.52 : x
2. Step 2: Convert to fraction form
   1,151.67/1,727.37 = 458.52/x
3. Step 3: Cross multiply
   1,151.67x = 1,727.37 × 458.52
4. Step 4: Simplify right side
   1,151.67x = 792,033.69
5. Step 5: Solve for x
   x = 792,033.69/1,151.67
6. Step 6: Final answer
   x = 687.73