Finding the Fourth Proportional to 11,669.89, 16,096.98 and 7,847.92

Step by Step Solution

1. Step 1: Write the proportion equation
   11,669.89 : 16,096.98 = 7,847.92 : x
2. Step 2: Convert to fraction form
   11,669.89/16,096.98 = 7,847.92/x
3. Step 3: Cross multiply
   11,669.89x = 16,096.98 × 7,847.92
4. Step 4: Simplify right side
   11,669.89x = 126,327,811.28
5. Step 5: Solve for x
   x = 126,327,811.28/11,669.89
6. Step 6: Final answer
   x = 10,825.11