Finding the Fourth Proportional to 10,159.96, 14,020.68 and 5,683.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.96 : 14,020.68 = 5,683.69 : x
2. Step 2: Convert to fraction form
   10,159.96/14,020.68 = 5,683.69/x
3. Step 3: Cross multiply
   10,159.96x = 14,020.68 × 5,683.69
4. Step 4: Simplify right side
   10,159.96x = 79,689,198.71
5. Step 5: Solve for x
   x = 79,689,198.71/10,159.96
6. Step 6: Final answer
   x = 7,843.46