Finding the Fourth Proportional to 10,384.88, 14,330.67 and 5,669.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.88 : 14,330.67 = 5,669.24 : x
2. Step 2: Convert to fraction form
   10,384.88/14,330.67 = 5,669.24/x
3. Step 3: Cross multiply
   10,384.88x = 14,330.67 × 5,669.24
4. Step 4: Simplify right side
   10,384.88x = 81,244,007.59
5. Step 5: Solve for x
   x = 81,244,007.59/10,384.88
6. Step 6: Final answer
   x = 7,823.30