Finding the Fourth Proportional to 10,150.39, 14,007.85 and 5,674.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.39 : 14,007.85 = 5,674.33 : x
2. Step 2: Convert to fraction form
   10,150.39/14,007.85 = 5,674.33/x
3. Step 3: Cross multiply
   10,150.39x = 14,007.85 × 5,674.33
4. Step 4: Simplify right side
   10,150.39x = 79,485,135.40
5. Step 5: Solve for x
   x = 79,485,135.40/10,150.39
6. Step 6: Final answer
   x = 7,830.75