Finding the Fourth Proportional to 10,662.06, 14,713.20 and 5,946.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.06 : 14,713.20 = 5,946.78 : x
2. Step 2: Convert to fraction form
   10,662.06/14,713.20 = 5,946.78/x
3. Step 3: Cross multiply
   10,662.06x = 14,713.20 × 5,946.78
4. Step 4: Simplify right side
   10,662.06x = 87,496,163.50
5. Step 5: Solve for x
   x = 87,496,163.50/10,662.06
6. Step 6: Final answer
   x = 8,206.31