Finding the Fourth Proportional to 10,150.02, 14,005.98 and 5,673.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.02 : 14,005.98 = 5,673.65 : x
2. Step 2: Convert to fraction form
   10,150.02/14,005.98 = 5,673.65/x
3. Step 3: Cross multiply
   10,150.02x = 14,005.98 × 5,673.65
4. Step 4: Simplify right side
   10,150.02x = 79,464,958.40
5. Step 5: Solve for x
   x = 79,464,958.40/10,150.02
6. Step 6: Final answer
   x = 7,829.04