Finding the Fourth Proportional to 1,072.72, 1,608.54 and 456.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.72 : 1,608.54 = 456.09 : x
2. Step 2: Convert to fraction form
   1,072.72/1,608.54 = 456.09/x
3. Step 3: Cross multiply
   1,072.72x = 1,608.54 × 456.09
4. Step 4: Simplify right side
   1,072.72x = 733,639.01
5. Step 5: Solve for x
   x = 733,639.01/1,072.72
6. Step 6: Final answer
   x = 683.91