Finding the Fourth Proportional to 9,433.14, 14,127.78 and 9,105.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,433.14 : 14,127.78 = 9,105.06 : x
2. Step 2: Convert to fraction form
   9,433.14/14,127.78 = 9,105.06/x
3. Step 3: Cross multiply
   9,433.14x = 14,127.78 × 9,105.06
4. Step 4: Simplify right side
   9,433.14x = 128,634,284.57
5. Step 5: Solve for x
   x = 128,634,284.57/9,433.14
6. Step 6: Final answer
   x = 13,636.42