Finding the Fourth Proportional to 1,235.94, 1,852.98 and 413.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,235.94 : 1,852.98 = 413.72 : x
2. Step 2: Convert to fraction form
   1,235.94/1,852.98 = 413.72/x
3. Step 3: Cross multiply
   1,235.94x = 1,852.98 × 413.72
4. Step 4: Simplify right side
   1,235.94x = 766,614.89
5. Step 5: Solve for x
   x = 766,614.89/1,235.94
6. Step 6: Final answer
   x = 620.27