Finding the Fourth Proportional to 1,456.81, 2,185.58 and 416.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.81 : 2,185.58 = 416.83 : x
2. Step 2: Convert to fraction form
   1,456.81/2,185.58 = 416.83/x
3. Step 3: Cross multiply
   1,456.81x = 2,185.58 × 416.83
4. Step 4: Simplify right side
   1,456.81x = 911,015.31
5. Step 5: Solve for x
   x = 911,015.31/1,456.81
6. Step 6: Final answer
   x = 625.35