Finding the Fourth Proportional to 10,159.94, 14,021.88 and 5,684.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.94 : 14,021.88 = 5,684.82 : x
2. Step 2: Convert to fraction form
   10,159.94/14,021.88 = 5,684.82/x
3. Step 3: Cross multiply
   10,159.94x = 14,021.88 × 5,684.82
4. Step 4: Simplify right side
   10,159.94x = 79,711,863.86
5. Step 5: Solve for x
   x = 79,711,863.86/10,159.94
6. Step 6: Final answer
   x = 7,845.70