Finding the Fourth Proportional to 1,071.89, 1,608.08 and 456.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.89 : 1,608.08 = 456.12 : x
2. Step 2: Convert to fraction form
   1,071.89/1,608.08 = 456.12/x
3. Step 3: Cross multiply
   1,071.89x = 1,608.08 × 456.12
4. Step 4: Simplify right side
   1,071.89x = 733,475.17
5. Step 5: Solve for x
   x = 733,475.17/1,071.89
6. Step 6: Final answer
   x = 684.28