Finding the Fourth Proportional to 9,838.78, 13,546.16 and 9,168.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.78 : 13,546.16 = 9,168.10 : x
2. Step 2: Convert to fraction form
   9,838.78/13,546.16 = 9,168.10/x
3. Step 3: Cross multiply
   9,838.78x = 13,546.16 × 9,168.10
4. Step 4: Simplify right side
   9,838.78x = 124,192,549.50
5. Step 5: Solve for x
   x = 124,192,549.50/9,838.78
6. Step 6: Final answer
   x = 12,622.76