Finding the Fourth Proportional to 10,150.47, 14,007.96 and 5,674.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.47 : 14,007.96 = 5,674.41 : x
2. Step 2: Convert to fraction form
   10,150.47/14,007.96 = 5,674.41/x
3. Step 3: Cross multiply
   10,150.47x = 14,007.96 × 5,674.41
4. Step 4: Simplify right side
   10,150.47x = 79,486,879.93
5. Step 5: Solve for x
   x = 79,486,879.93/10,150.47
6. Step 6: Final answer
   x = 7,830.86