Finding the Fourth Proportional to 1,109.27, 1,664.37 and 416.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.27 : 1,664.37 = 416.24 : x
2. Step 2: Convert to fraction form
   1,109.27/1,664.37 = 416.24/x
3. Step 3: Cross multiply
   1,109.27x = 1,664.37 × 416.24
4. Step 4: Simplify right side
   1,109.27x = 692,777.37
5. Step 5: Solve for x
   x = 692,777.37/1,109.27
6. Step 6: Final answer
   x = 624.53