Finding the Fourth Proportional to 10,384.37, 14,330.35 and 5,668.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.37 : 14,330.35 = 5,668.65 : x
2. Step 2: Convert to fraction form
   10,384.37/14,330.35 = 5,668.65/x
3. Step 3: Cross multiply
   10,384.37x = 14,330.35 × 5,668.65
4. Step 4: Simplify right side
   10,384.37x = 81,233,745.61
5. Step 5: Solve for x
   x = 81,233,745.61/10,384.37
6. Step 6: Final answer
   x = 7,822.69