Finding the Fourth Proportional to 1,496.31, 2,244.69 and 456.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.31 : 2,244.69 = 456.27 : x
2. Step 2: Convert to fraction form
   1,496.31/2,244.69 = 456.27/x
3. Step 3: Cross multiply
   1,496.31x = 2,244.69 × 456.27
4. Step 4: Simplify right side
   1,496.31x = 1,024,184.71
5. Step 5: Solve for x
   x = 1,024,184.71/1,496.31
6. Step 6: Final answer
   x = 684.47