Finding the Fourth Proportional to 10,192.97, 14,066.12 and 5,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192.97 : 14,066.12 = 5,946.50 : x
2. Step 2: Convert to fraction form
   10,192.97/14,066.12 = 5,946.50/x
3. Step 3: Cross multiply
   10,192.97x = 14,066.12 × 5,946.50
4. Step 4: Simplify right side
   10,192.97x = 83,644,127.12
5. Step 5: Solve for x
   x = 83,644,127.12/10,192.97
6. Step 6: Final answer
   x = 8,206.06