Finding the Fourth Proportional to 31,776.27, 47,664.69 and 8,083.85

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776.27 : 47,664.69 = 8,083.85 : x
2. Step 2: Convert to fraction form
   31,776.27/47,664.69 = 8,083.85/x
3. Step 3: Cross multiply
   31,776.27x = 47,664.69 × 8,083.85
4. Step 4: Simplify right side
   31,776.27x = 385,314,271.94
5. Step 5: Solve for x
   x = 385,314,271.94/31,776.27
6. Step 6: Final answer
   x = 12,125.85