Finding the Fourth Proportional to 9,934.14, 13,634.16 and 9,089.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,934.14 : 13,634.16 = 9,089.40 : x
2. Step 2: Convert to fraction form
   9,934.14/13,634.16 = 9,089.40/x
3. Step 3: Cross multiply
   9,934.14x = 13,634.16 × 9,089.40
4. Step 4: Simplify right side
   9,934.14x = 123,926,333.90
5. Step 5: Solve for x
   x = 123,926,333.90/9,934.14
6. Step 6: Final answer
   x = 12,474.79