Finding the Fourth Proportional to 10,384.14, 14,329.89 and 5,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.14 : 14,329.89 = 5,668.50 : x
2. Step 2: Convert to fraction form
   10,384.14/14,329.89 = 5,668.50/x
3. Step 3: Cross multiply
   10,384.14x = 14,329.89 × 5,668.50
4. Step 4: Simplify right side
   10,384.14x = 81,228,981.47
5. Step 5: Solve for x
   x = 81,228,981.47/10,384.14
6. Step 6: Final answer
   x = 7,822.41