Finding the Fourth Proportional to 10,150.47, 14,007.93 and 5,674.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.47 : 14,007.93 = 5,674.72 : x
2. Step 2: Convert to fraction form
   10,150.47/14,007.93 = 5,674.72/x
3. Step 3: Cross multiply
   10,150.47x = 14,007.93 × 5,674.72
4. Step 4: Simplify right side
   10,150.47x = 79,491,080.53
5. Step 5: Solve for x
   x = 79,491,080.53/10,150.47
6. Step 6: Final answer
   x = 7,831.27