Finding the Fourth Proportional to 10,160.10, 14,020.67 and 5,684.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.10 : 14,020.67 = 5,684.04 : x
2. Step 2: Convert to fraction form
   10,160.10/14,020.67 = 5,684.04/x
3. Step 3: Cross multiply
   10,160.10x = 14,020.67 × 5,684.04
4. Step 4: Simplify right side
   10,160.10x = 79,694,049.11
5. Step 5: Solve for x
   x = 79,694,049.11/10,160.10
6. Step 6: Final answer
   x = 7,843.83