Finding the Fourth Proportional to 1,401.42, 2,101.83 and 413.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.42 : 2,101.83 = 413.97 : x
2. Step 2: Convert to fraction form
   1,401.42/2,101.83 = 413.97/x
3. Step 3: Cross multiply
   1,401.42x = 2,101.83 × 413.97
4. Step 4: Simplify right side
   1,401.42x = 870,094.57
5. Step 5: Solve for x
   x = 870,094.57/1,401.42
6. Step 6: Final answer
   x = 620.87