Finding the Fourth Proportional to 10,150.20, 14,007.02 and 5,674.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.20 : 14,007.02 = 5,674.01 : x
2. Step 2: Convert to fraction form
   10,150.20/14,007.02 = 5,674.01/x
3. Step 3: Cross multiply
   10,150.20x = 14,007.02 × 5,674.01
4. Step 4: Simplify right side
   10,150.20x = 79,475,873.15
5. Step 5: Solve for x
   x = 79,475,873.15/10,150.20
6. Step 6: Final answer
   x = 7,829.98