Finding the Fourth Proportional to 1,404.02, 2,105.48 and 416.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.02 : 2,105.48 = 416.57 : x
2. Step 2: Convert to fraction form
   1,404.02/2,105.48 = 416.57/x
3. Step 3: Cross multiply
   1,404.02x = 2,105.48 × 416.57
4. Step 4: Simplify right side
   1,404.02x = 877,067.19
5. Step 5: Solve for x
   x = 877,067.19/1,404.02
6. Step 6: Final answer
   x = 624.69