Finding the Fourth Proportional to 10,192.24, 14,065.86 and 7,669.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192.24 : 14,065.86 = 7,669.81 : x
2. Step 2: Convert to fraction form
   10,192.24/14,065.86 = 7,669.81/x
3. Step 3: Cross multiply
   10,192.24x = 14,065.86 × 7,669.81
4. Step 4: Simplify right side
   10,192.24x = 107,882,473.69
5. Step 5: Solve for x
   x = 107,882,473.69/10,192.24
6. Step 6: Final answer
   x = 10,584.77