Finding the Fourth Proportional to 10,384.17, 14,329.76 and 5,668.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.17 : 14,329.76 = 5,668.49 : x
2. Step 2: Convert to fraction form
   10,384.17/14,329.76 = 5,668.49/x
3. Step 3: Cross multiply
   10,384.17x = 14,329.76 × 5,668.49
4. Step 4: Simplify right side
   10,384.17x = 81,228,001.27
5. Step 5: Solve for x
   x = 81,228,001.27/10,384.17
6. Step 6: Final answer
   x = 7,822.29