Finding the Fourth Proportional to 10,159.01, 14,020.25 and 5,683.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.01 : 14,020.25 = 5,683.76 : x
2. Step 2: Convert to fraction form
   10,159.01/14,020.25 = 5,683.76/x
3. Step 3: Cross multiply
   10,159.01x = 14,020.25 × 5,683.76
4. Step 4: Simplify right side
   10,159.01x = 79,687,736.14
5. Step 5: Solve for x
   x = 79,687,736.14/10,159.01
6. Step 6: Final answer
   x = 7,844.05