Finding the Fourth Proportional to 1,496.84, 2,245.55 and 456.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.84 : 2,245.55 = 456.89 : x
2. Step 2: Convert to fraction form
   1,496.84/2,245.55 = 456.89/x
3. Step 3: Cross multiply
   1,496.84x = 2,245.55 × 456.89
4. Step 4: Simplify right side
   1,496.84x = 1,025,955.83
5. Step 5: Solve for x
   x = 1,025,955.83/1,496.84
6. Step 6: Final answer
   x = 685.42