Finding the Fourth Proportional to 10,661.76, 14,713.81 and 5,946.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,661.76 : 14,713.81 = 5,946.02 : x
2. Step 2: Convert to fraction form
   10,661.76/14,713.81 = 5,946.02/x
3. Step 3: Cross multiply
   10,661.76x = 14,713.81 × 5,946.02
4. Step 4: Simplify right side
   10,661.76x = 87,488,608.54
5. Step 5: Solve for x
   x = 87,488,608.54/10,661.76
6. Step 6: Final answer
   x = 8,205.83