Finding the Fourth Proportional to 10,823.65, 16,223.34 and 7,082.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.65 : 16,223.34 = 7,082.62 : x
2. Step 2: Convert to fraction form
   10,823.65/16,223.34 = 7,082.62/x
3. Step 3: Cross multiply
   10,823.65x = 16,223.34 × 7,082.62
4. Step 4: Simplify right side
   10,823.65x = 114,903,752.35
5. Step 5: Solve for x
   x = 114,903,752.35/10,823.65
6. Step 6: Final answer
   x = 10,615.99