Finding the Fourth Proportional to 1,496.32, 2,243.94 and 456.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.32 : 2,243.94 = 456.10 : x
2. Step 2: Convert to fraction form
   1,496.32/2,243.94 = 456.10/x
3. Step 3: Cross multiply
   1,496.32x = 2,243.94 × 456.10
4. Step 4: Simplify right side
   1,496.32x = 1,023,461.03
5. Step 5: Solve for x
   x = 1,023,461.03/1,496.32
6. Step 6: Final answer
   x = 683.99