Finding the Fourth Proportional to 1,470.50, 2,205.89 and 416.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.50 : 2,205.89 = 416.31 : x
2. Step 2: Convert to fraction form
   1,470.50/2,205.89 = 416.31/x
3. Step 3: Cross multiply
   1,470.50x = 2,205.89 × 416.31
4. Step 4: Simplify right side
   1,470.50x = 918,331.98
5. Step 5: Solve for x
   x = 918,331.98/1,470.50
6. Step 6: Final answer
   x = 624.51