Finding the Fourth Proportional to 1,072.81, 1,608.88 and 456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.81 : 1,608.88 = 456.50 : x
2. Step 2: Convert to fraction form
   1,072.81/1,608.88 = 456.50/x
3. Step 3: Cross multiply
   1,072.81x = 1,608.88 × 456.50
4. Step 4: Simplify right side
   1,072.81x = 734,453.72
5. Step 5: Solve for x
   x = 734,453.72/1,072.81
6. Step 6: Final answer
   x = 684.61