Finding the Fourth Proportional to 10,662.21, 14,712.84 and 5,946.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.21 : 14,712.84 = 5,946.80 : x
2. Step 2: Convert to fraction form
   10,662.21/14,712.84 = 5,946.80/x
3. Step 3: Cross multiply
   10,662.21x = 14,712.84 × 5,946.80
4. Step 4: Simplify right side
   10,662.21x = 87,494,243.35
5. Step 5: Solve for x
   x = 87,494,243.35/10,662.21
6. Step 6: Final answer
   x = 8,206.01