Finding the Fourth Proportional to 10,150.72, 14,007.94 and 5,674.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.72 : 14,007.94 = 5,674.47 : x
2. Step 2: Convert to fraction form
   10,150.72/14,007.94 = 5,674.47/x
3. Step 3: Cross multiply
   10,150.72x = 14,007.94 × 5,674.47
4. Step 4: Simplify right side
   10,150.72x = 79,487,635.29
5. Step 5: Solve for x
   x = 79,487,635.29/10,150.72
6. Step 6: Final answer
   x = 7,830.74