Finding the Fourth Proportional to 1,105.73, 1,659.23 and 412.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.73 : 1,659.23 = 412.88 : x
2. Step 2: Convert to fraction form
   1,105.73/1,659.23 = 412.88/x
3. Step 3: Cross multiply
   1,105.73x = 1,659.23 × 412.88
4. Step 4: Simplify right side
   1,105.73x = 685,062.88
5. Step 5: Solve for x
   x = 685,062.88/1,105.73
6. Step 6: Final answer
   x = 619.56