Finding the Fourth Proportional to 1,456.10, 2,184.05 and 416.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.10 : 2,184.05 = 416.12 : x
2. Step 2: Convert to fraction form
   1,456.10/2,184.05 = 416.12/x
3. Step 3: Cross multiply
   1,456.10x = 2,184.05 × 416.12
4. Step 4: Simplify right side
   1,456.10x = 908,826.89
5. Step 5: Solve for x
   x = 908,826.89/1,456.10
6. Step 6: Final answer
   x = 624.15