Finding the Fourth Proportional to 10,150.34, 14,006.39 and 5,674.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.34 : 14,006.39 = 5,674.28 : x
2. Step 2: Convert to fraction form
   10,150.34/14,006.39 = 5,674.28/x
3. Step 3: Cross multiply
   10,150.34x = 14,006.39 × 5,674.28
4. Step 4: Simplify right side
   10,150.34x = 79,476,150.28
5. Step 5: Solve for x
   x = 79,476,150.28/10,150.34
6. Step 6: Final answer
   x = 7,829.90