Finding the Fourth Proportional to 1,151.82, 1,727.33 and 458.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.82 : 1,727.33 = 458.46 : x
2. Step 2: Convert to fraction form
   1,151.82/1,727.33 = 458.46/x
3. Step 3: Cross multiply
   1,151.82x = 1,727.33 × 458.46
4. Step 4: Simplify right side
   1,151.82x = 791,909.42
5. Step 5: Solve for x
   x = 791,909.42/1,151.82
6. Step 6: Final answer
   x = 687.53