Finding the Fourth Proportional to 31,777.10, 47,665.34 and 8,084.72

Step by Step Solution

1. Step 1: Write the proportion equation
   31,777.10 : 47,665.34 = 8,084.72 : x
2. Step 2: Convert to fraction form
   31,777.10/47,665.34 = 8,084.72/x
3. Step 3: Cross multiply
   31,777.10x = 47,665.34 × 8,084.72
4. Step 4: Simplify right side
   31,777.10x = 385,360,927.60
5. Step 5: Solve for x
   x = 385,360,927.60/31,777.10
6. Step 6: Final answer
   x = 12,127.00