Finding the Fourth Proportional to 11,662.80, 16,093.94 and 6,946.18

Step by Step Solution

1. Step 1: Write the proportion equation
   11,662.80 : 16,093.94 = 6,946.18 : x
2. Step 2: Convert to fraction form
   11,662.80/16,093.94 = 6,946.18/x
3. Step 3: Cross multiply
   11,662.80x = 16,093.94 × 6,946.18
4. Step 4: Simplify right side
   11,662.80x = 111,791,404.15
5. Step 5: Solve for x
   x = 111,791,404.15/11,662.80
6. Step 6: Final answer
   x = 9,585.30