Finding the Fourth Proportional to 1,456.31, 2,184.83 and 416.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.31 : 2,184.83 = 416.33 : x
2. Step 2: Convert to fraction form
   1,456.31/2,184.83 = 416.33/x
3. Step 3: Cross multiply
   1,456.31x = 2,184.83 × 416.33
4. Step 4: Simplify right side
   1,456.31x = 909,597.27
5. Step 5: Solve for x
   x = 909,597.27/1,456.31
6. Step 6: Final answer
   x = 624.59