Finding the Fourth Proportional to 10,159.29, 14,019.48 and 5,683.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.29 : 14,019.48 = 5,683.57 : x
2. Step 2: Convert to fraction form
   10,159.29/14,019.48 = 5,683.57/x
3. Step 3: Cross multiply
   10,159.29x = 14,019.48 × 5,683.57
4. Step 4: Simplify right side
   10,159.29x = 79,680,660.89
5. Step 5: Solve for x
   x = 79,680,660.89/10,159.29
6. Step 6: Final answer
   x = 7,843.13