Finding the Fourth Proportional to 1,404.03, 2,105.31 and 416.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.03 : 2,105.31 = 416.71 : x
2. Step 2: Convert to fraction form
   1,404.03/2,105.31 = 416.71/x
3. Step 3: Cross multiply
   1,404.03x = 2,105.31 × 416.71
4. Step 4: Simplify right side
   1,404.03x = 877,293.74
5. Step 5: Solve for x
   x = 877,293.74/1,404.03
6. Step 6: Final answer
   x = 624.84