Finding the Fourth Proportional to 10,150.49, 14,007.18 and 5,674.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.49 : 14,007.18 = 5,674.21 : x
2. Step 2: Convert to fraction form
   10,150.49/14,007.18 = 5,674.21/x
3. Step 3: Cross multiply
   10,150.49x = 14,007.18 × 5,674.21
4. Step 4: Simplify right side
   10,150.49x = 79,479,645.81
5. Step 5: Solve for x
   x = 79,479,645.81/10,150.49
6. Step 6: Final answer
   x = 7,830.13