Finding the Fourth Proportional to 1,072.83, 1,608.84 and 456.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.83 : 1,608.84 = 456.83 : x
2. Step 2: Convert to fraction form
   1,072.83/1,608.84 = 456.83/x
3. Step 3: Cross multiply
   1,072.83x = 1,608.84 × 456.83
4. Step 4: Simplify right side
   1,072.83x = 734,958.33
5. Step 5: Solve for x
   x = 734,958.33/1,072.83
6. Step 6: Final answer
   x = 685.07