Finding the Fourth Proportional to 1,150.49, 1,724.70 and 456.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.49 : 1,724.70 = 456.82 : x
2. Step 2: Convert to fraction form
   1,150.49/1,724.70 = 456.82/x
3. Step 3: Cross multiply
   1,150.49x = 1,724.70 × 456.82
4. Step 4: Simplify right side
   1,150.49x = 787,877.45
5. Step 5: Solve for x
   x = 787,877.45/1,150.49
6. Step 6: Final answer
   x = 684.82