Finding the Fourth Proportional to 1,105.05, 1,656.75 and 456.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.05 : 1,656.75 = 456.24 : x
2. Step 2: Convert to fraction form
   1,105.05/1,656.75 = 456.24/x
3. Step 3: Cross multiply
   1,105.05x = 1,656.75 × 456.24
4. Step 4: Simplify right side
   1,105.05x = 755,875.62
5. Step 5: Solve for x
   x = 755,875.62/1,105.05
6. Step 6: Final answer
   x = 684.02