Finding the Fourth Proportional to 10,662.07, 14,713.74 and 5,946.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.07 : 14,713.74 = 5,946.46 : x
2. Step 2: Convert to fraction form
   10,662.07/14,713.74 = 5,946.46/x
3. Step 3: Cross multiply
   10,662.07x = 14,713.74 × 5,946.46
4. Step 4: Simplify right side
   10,662.07x = 87,494,666.36
5. Step 5: Solve for x
   x = 87,494,666.36/10,662.07
6. Step 6: Final answer
   x = 8,206.16