Finding the Fourth Proportional to 1,109.33, 1,664.82 and 416.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.33 : 1,664.82 = 416.17 : x
2. Step 2: Convert to fraction form
   1,109.33/1,664.82 = 416.17/x
3. Step 3: Cross multiply
   1,109.33x = 1,664.82 × 416.17
4. Step 4: Simplify right side
   1,109.33x = 692,848.14
5. Step 5: Solve for x
   x = 692,848.14/1,109.33
6. Step 6: Final answer
   x = 624.56