Finding the Fourth Proportional to 1,109.69, 1,664.72 and 416.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.69 : 1,664.72 = 416.41 : x
2. Step 2: Convert to fraction form
   1,109.69/1,664.72 = 416.41/x
3. Step 3: Cross multiply
   1,109.69x = 1,664.72 × 416.41
4. Step 4: Simplify right side
   1,109.69x = 693,211.15
5. Step 5: Solve for x
   x = 693,211.15/1,109.69
6. Step 6: Final answer
   x = 624.69