Finding the Fourth Proportional to 10,661.94, 14,713.74 and 5,946.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,661.94 : 14,713.74 = 5,946.30 : x
2. Step 2: Convert to fraction form
   10,661.94/14,713.74 = 5,946.30/x
3. Step 3: Cross multiply
   10,661.94x = 14,713.74 × 5,946.30
4. Step 4: Simplify right side
   10,661.94x = 87,492,312.16
5. Step 5: Solve for x
   x = 87,492,312.16/10,661.94
6. Step 6: Final answer
   x = 8,206.04