Finding the Fourth Proportional to 10,150.16, 14,007.29 and 5,674.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.16 : 14,007.29 = 5,674.10 : x
2. Step 2: Convert to fraction form
   10,150.16/14,007.29 = 5,674.10/x
3. Step 3: Cross multiply
   10,150.16x = 14,007.29 × 5,674.10
4. Step 4: Simplify right side
   10,150.16x = 79,478,665.78
5. Step 5: Solve for x
   x = 79,478,665.78/10,150.16
6. Step 6: Final answer
   x = 7,830.29