Finding the Fourth Proportional to 10,796.48, 16,199.37 and 7,838.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,796.48 : 16,199.37 = 7,838.21 : x
2. Step 2: Convert to fraction form
   10,796.48/16,199.37 = 7,838.21/x
3. Step 3: Cross multiply
   10,796.48x = 16,199.37 × 7,838.21
4. Step 4: Simplify right side
   10,796.48x = 126,973,982.93
5. Step 5: Solve for x
   x = 126,973,982.93/10,796.48
6. Step 6: Final answer
   x = 11,760.69