Finding the Fourth Proportional to 1,105.02, 1,658.73 and 456.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.02 : 1,658.73 = 456.21 : x
2. Step 2: Convert to fraction form
   1,105.02/1,658.73 = 456.21/x
3. Step 3: Cross multiply
   1,105.02x = 1,658.73 × 456.21
4. Step 4: Simplify right side
   1,105.02x = 756,729.21
5. Step 5: Solve for x
   x = 756,729.21/1,105.02
6. Step 6: Final answer
   x = 684.81