Finding the Fourth Proportional to 9,834.78, 14,680.81 and 9,102.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.78 : 14,680.81 = 9,102.99 : x
2. Step 2: Convert to fraction form
   9,834.78/14,680.81 = 9,102.99/x
3. Step 3: Cross multiply
   9,834.78x = 14,680.81 × 9,102.99
4. Step 4: Simplify right side
   9,834.78x = 133,639,222.39
5. Step 5: Solve for x
   x = 133,639,222.39/9,834.78
6. Step 6: Final answer
   x = 13,588.43