Finding the Fourth Proportional to 11,946.57, 16,481.67 and 7,697.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,946.57 : 16,481.67 = 7,697.30 : x
2. Step 2: Convert to fraction form
   11,946.57/16,481.67 = 7,697.30/x
3. Step 3: Cross multiply
   11,946.57x = 16,481.67 × 7,697.30
4. Step 4: Simplify right side
   11,946.57x = 126,864,268.87
5. Step 5: Solve for x
   x = 126,864,268.87/11,946.57
6. Step 6: Final answer
   x = 10,619.30