Finding the Fourth Proportional to 10,159.89, 14,021.39 and 5,685.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.89 : 14,021.39 = 5,685.08 : x
2. Step 2: Convert to fraction form
   10,159.89/14,021.39 = 5,685.08/x
3. Step 3: Cross multiply
   10,159.89x = 14,021.39 × 5,685.08
4. Step 4: Simplify right side
   10,159.89x = 79,712,723.86
5. Step 5: Solve for x
   x = 79,712,723.86/10,159.89
6. Step 6: Final answer
   x = 7,845.83