Finding the Fourth Proportional to 1,064.91, 1,597.22 and 416.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.91 : 1,597.22 = 416.10 : x
2. Step 2: Convert to fraction form
   1,064.91/1,597.22 = 416.10/x
3. Step 3: Cross multiply
   1,064.91x = 1,597.22 × 416.10
4. Step 4: Simplify right side
   1,064.91x = 664,596.30
5. Step 5: Solve for x
   x = 664,596.30/1,064.91
6. Step 6: Final answer
   x = 624.09