Finding the Fourth Proportional to 1,106.72, 1,659.96 and 413.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.72 : 1,659.96 = 413.24 : x
2. Step 2: Convert to fraction form
   1,106.72/1,659.96 = 413.24/x
3. Step 3: Cross multiply
   1,106.72x = 1,659.96 × 413.24
4. Step 4: Simplify right side
   1,106.72x = 685,961.87
5. Step 5: Solve for x
   x = 685,961.87/1,106.72
6. Step 6: Final answer
   x = 619.82