Finding the Fourth Proportional to 10,160.82, 14,021.61 and 5,684.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.82 : 14,021.61 = 5,684.65 : x
2. Step 2: Convert to fraction form
   10,160.82/14,021.61 = 5,684.65/x
3. Step 3: Cross multiply
   10,160.82x = 14,021.61 × 5,684.65
4. Step 4: Simplify right side
   10,160.82x = 79,707,945.29
5. Step 5: Solve for x
   x = 79,707,945.29/10,160.82
6. Step 6: Final answer
   x = 7,844.64