Finding the Fourth Proportional to 10,159.86, 14,019.95 and 5,682.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.86 : 14,019.95 = 5,682.84 : x
2. Step 2: Convert to fraction form
   10,159.86/14,019.95 = 5,682.84/x
3. Step 3: Cross multiply
   10,159.86x = 14,019.95 × 5,682.84
4. Step 4: Simplify right side
   10,159.86x = 79,673,132.66
5. Step 5: Solve for x
   x = 79,673,132.66/10,159.86
6. Step 6: Final answer
   x = 7,841.95