Finding the Fourth Proportional to 20,682.84, 31,005.72 and 8,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,682.84 : 31,005.72 = 8,194.50 : x
2. Step 2: Convert to fraction form
   20,682.84/31,005.72 = 8,194.50/x
3. Step 3: Cross multiply
   20,682.84x = 31,005.72 × 8,194.50
4. Step 4: Simplify right side
   20,682.84x = 254,076,372.54
5. Step 5: Solve for x
   x = 254,076,372.54/20,682.84
6. Step 6: Final answer
   x = 12,284.40