Finding the Fourth Proportional to 10,150.59, 14,007.75 and 5,674.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.59 : 14,007.75 = 5,674.32 : x
2. Step 2: Convert to fraction form
   10,150.59/14,007.75 = 5,674.32/x
3. Step 3: Cross multiply
   10,150.59x = 14,007.75 × 5,674.32
4. Step 4: Simplify right side
   10,150.59x = 79,484,455.98
5. Step 5: Solve for x
   x = 79,484,455.98/10,150.59
6. Step 6: Final answer
   x = 7,830.53