Finding the Fourth Proportional to 10,192.65, 14,064.89 and 5,715.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192.65 : 14,064.89 = 5,715.38 : x
2. Step 2: Convert to fraction form
   10,192.65/14,064.89 = 5,715.38/x
3. Step 3: Cross multiply
   10,192.65x = 14,064.89 × 5,715.38
4. Step 4: Simplify right side
   10,192.65x = 80,386,092.11
5. Step 5: Solve for x
   x = 80,386,092.11/10,192.65
6. Step 6: Final answer
   x = 7,886.67