Finding the Fourth Proportional to 1,496.83, 2,245.34 and 456.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.83 : 2,245.34 = 456.91 : x
2. Step 2: Convert to fraction form
   1,496.83/2,245.34 = 456.91/x
3. Step 3: Cross multiply
   1,496.83x = 2,245.34 × 456.91
4. Step 4: Simplify right side
   1,496.83x = 1,025,904.79
5. Step 5: Solve for x
   x = 1,025,904.79/1,496.83
6. Step 6: Final answer
   x = 685.38