Finding the Fourth Proportional to 9,694.34, 14,475.83 and 7,697.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,694.34 : 14,475.83 = 7,697.56 : x
2. Step 2: Convert to fraction form
   9,694.34/14,475.83 = 7,697.56/x
3. Step 3: Cross multiply
   9,694.34x = 14,475.83 × 7,697.56
4. Step 4: Simplify right side
   9,694.34x = 111,428,569.97
5. Step 5: Solve for x
   x = 111,428,569.97/9,694.34
6. Step 6: Final answer
   x = 11,494.19