Finding the Fourth Proportional to 1,105.99, 1,659.05 and 456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.99 : 1,659.05 = 456.50 : x
2. Step 2: Convert to fraction form
   1,105.99/1,659.05 = 456.50/x
3. Step 3: Cross multiply
   1,105.99x = 1,659.05 × 456.50
4. Step 4: Simplify right side
   1,105.99x = 757,356.33
5. Step 5: Solve for x
   x = 757,356.33/1,105.99
6. Step 6: Final answer
   x = 684.78