Finding the Fourth Proportional to 10,151.26, 14,007.84 and 5,674.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151.26 : 14,007.84 = 5,674.42 : x
2. Step 2: Convert to fraction form
   10,151.26/14,007.84 = 5,674.42/x
3. Step 3: Cross multiply
   10,151.26x = 14,007.84 × 5,674.42
4. Step 4: Simplify right side
   10,151.26x = 79,486,367.45
5. Step 5: Solve for x
   x = 79,486,367.45/10,151.26
6. Step 6: Final answer
   x = 7,830.20