Finding the Fourth Proportional to 12,834.50, 17,711.61 and 6,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834.50 : 17,711.61 = 6,946.50 : x
2. Step 2: Convert to fraction form
   12,834.50/17,711.61 = 6,946.50/x
3. Step 3: Cross multiply
   12,834.50x = 17,711.61 × 6,946.50
4. Step 4: Simplify right side
   12,834.50x = 123,033,698.87
5. Step 5: Solve for x
   x = 123,033,698.87/12,834.50
6. Step 6: Final answer
   x = 9,586.17