Finding the Fourth Proportional to 10,150.49, 14,007.83 and 5,674.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.49 : 14,007.83 = 5,674.22 : x
2. Step 2: Convert to fraction form
   10,150.49/14,007.83 = 5,674.22/x
3. Step 3: Cross multiply
   10,150.49x = 14,007.83 × 5,674.22
4. Step 4: Simplify right side
   10,150.49x = 79,483,410.73
5. Step 5: Solve for x
   x = 79,483,410.73/10,150.49
6. Step 6: Final answer
   x = 7,830.50