Finding the Fourth Proportional to 10,159.25, 14,020.43 and 5,683.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.25 : 14,020.43 = 5,683.77 : x
2. Step 2: Convert to fraction form
   10,159.25/14,020.43 = 5,683.77/x
3. Step 3: Cross multiply
   10,159.25x = 14,020.43 × 5,683.77
4. Step 4: Simplify right side
   10,159.25x = 79,688,871.00
5. Step 5: Solve for x
   x = 79,688,871.00/10,159.25
6. Step 6: Final answer
   x = 7,843.98