Finding the Fourth Proportional to 10,150.35, 14,007.56 and 5,674.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.35 : 14,007.56 = 5,674.29 : x
2. Step 2: Convert to fraction form
   10,150.35/14,007.56 = 5,674.29/x
3. Step 3: Cross multiply
   10,150.35x = 14,007.56 × 5,674.29
4. Step 4: Simplify right side
   10,150.35x = 79,482,929.26
5. Step 5: Solve for x
   x = 79,482,929.26/10,150.35
6. Step 6: Final answer
   x = 7,830.56