Finding the Fourth Proportional to 10,159.44, 14,019.71 and 5,683.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.44 : 14,019.71 = 5,683.27 : x
2. Step 2: Convert to fraction form
   10,159.44/14,019.71 = 5,683.27/x
3. Step 3: Cross multiply
   10,159.44x = 14,019.71 × 5,683.27
4. Step 4: Simplify right side
   10,159.44x = 79,677,797.25
5. Step 5: Solve for x
   x = 79,677,797.25/10,159.44
6. Step 6: Final answer
   x = 7,842.74