Finding the Fourth Proportional to 10,662.18, 14,713.86 and 5,946.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.18 : 14,713.86 = 5,946.66 : x
2. Step 2: Convert to fraction form
   10,662.18/14,713.86 = 5,946.66/x
3. Step 3: Cross multiply
   10,662.18x = 14,713.86 × 5,946.66
4. Step 4: Simplify right side
   10,662.18x = 87,498,322.71
5. Step 5: Solve for x
   x = 87,498,322.71/10,662.18
6. Step 6: Final answer
   x = 8,206.42