Finding the Fourth Proportional to 10,661.69, 14,713.43 and 5,946.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,661.69 : 14,713.43 = 5,946.27 : x
2. Step 2: Convert to fraction form
   10,661.69/14,713.43 = 5,946.27/x
3. Step 3: Cross multiply
   10,661.69x = 14,713.43 × 5,946.27
4. Step 4: Simplify right side
   10,661.69x = 87,490,027.41
5. Step 5: Solve for x
   x = 87,490,027.41/10,661.69
6. Step 6: Final answer
   x = 8,206.02