Finding the Fourth Proportional to 10,159.38, 14,020.29 and 5,683.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.38 : 14,020.29 = 5,683.32 : x
2. Step 2: Convert to fraction form
   10,159.38/14,020.29 = 5,683.32/x
3. Step 3: Cross multiply
   10,159.38x = 14,020.29 × 5,683.32
4. Step 4: Simplify right side
   10,159.38x = 79,681,794.56
5. Step 5: Solve for x
   x = 79,681,794.56/10,159.38
6. Step 6: Final answer
   x = 7,843.17