Finding the Fourth Proportional to 1,456.50, 2,184.88 and 416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.50 : 2,184.88 = 416.50 : x
2. Step 2: Convert to fraction form
   1,456.50/2,184.88 = 416.50/x
3. Step 3: Cross multiply
   1,456.50x = 2,184.88 × 416.50
4. Step 4: Simplify right side
   1,456.50x = 910,002.52
5. Step 5: Solve for x
   x = 910,002.52/1,456.50
6. Step 6: Final answer
   x = 624.79