Finding the Fourth Proportional to 31,787.34, 47,683.29 and 8,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,787.34 : 47,683.29 = 8,413.50 : x
2. Step 2: Convert to fraction form
   31,787.34/47,683.29 = 8,413.50/x
3. Step 3: Cross multiply
   31,787.34x = 47,683.29 × 8,413.50
4. Step 4: Simplify right side
   31,787.34x = 401,183,360.42
5. Step 5: Solve for x
   x = 401,183,360.42/31,787.34
6. Step 6: Final answer
   x = 12,620.85