Finding the Fourth Proportional to 10,159.63, 14,020.82 and 5,683.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.63 : 14,020.82 = 5,683.46 : x
2. Step 2: Convert to fraction form
   10,159.63/14,020.82 = 5,683.46/x
3. Step 3: Cross multiply
   10,159.63x = 14,020.82 × 5,683.46
4. Step 4: Simplify right side
   10,159.63x = 79,686,722.27
5. Step 5: Solve for x
   x = 79,686,722.27/10,159.63
6. Step 6: Final answer
   x = 7,843.47