Finding the Fourth Proportional to 10,159.59, 14,020.17 and 5,683.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.59 : 14,020.17 = 5,683.35 : x
2. Step 2: Convert to fraction form
   10,159.59/14,020.17 = 5,683.35/x
3. Step 3: Cross multiply
   10,159.59x = 14,020.17 × 5,683.35
4. Step 4: Simplify right side
   10,159.59x = 79,681,533.17
5. Step 5: Solve for x
   x = 79,681,533.17/10,159.59
6. Step 6: Final answer
   x = 7,842.99