Finding the Fourth Proportional to 1,105.23, 1,657.86 and 456.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.23 : 1,657.86 = 456.03 : x
2. Step 2: Convert to fraction form
   1,105.23/1,657.86 = 456.03/x
3. Step 3: Cross multiply
   1,105.23x = 1,657.86 × 456.03
4. Step 4: Simplify right side
   1,105.23x = 756,033.90
5. Step 5: Solve for x
   x = 756,033.90/1,105.23
6. Step 6: Final answer
   x = 684.05