Finding the Fourth Proportional to 10,144.86, 14,000.46 and 5,668.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144.86 : 14,000.46 = 5,668.62 : x
2. Step 2: Convert to fraction form
   10,144.86/14,000.46 = 5,668.62/x
3. Step 3: Cross multiply
   10,144.86x = 14,000.46 × 5,668.62
4. Step 4: Simplify right side
   10,144.86x = 79,363,287.57
5. Step 5: Solve for x
   x = 79,363,287.57/10,144.86
6. Step 6: Final answer
   x = 7,823.00