Finding the Fourth Proportional to 10,150.62, 14,005.98 and 5,674.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.62 : 14,005.98 = 5,674.20 : x
2. Step 2: Convert to fraction form
   10,150.62/14,005.98 = 5,674.20/x
3. Step 3: Cross multiply
   10,150.62x = 14,005.98 × 5,674.20
4. Step 4: Simplify right side
   10,150.62x = 79,472,731.72
5. Step 5: Solve for x
   x = 79,472,731.72/10,150.62
6. Step 6: Final answer
   x = 7,829.35