Finding the Fourth Proportional to 9,834.14, 14,750.78 and 8,513.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.14 : 14,750.78 = 8,513.57 : x
2. Step 2: Convert to fraction form
   9,834.14/14,750.78 = 8,513.57/x
3. Step 3: Cross multiply
   9,834.14x = 14,750.78 × 8,513.57
4. Step 4: Simplify right side
   9,834.14x = 125,581,792.39
5. Step 5: Solve for x
   x = 125,581,792.39/9,834.14
6. Step 6: Final answer
   x = 12,769.98