Finding the Fourth Proportional to 10,147.65, 14,004.39 and 5,671.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.65 : 14,004.39 = 5,671.72 : x
2. Step 2: Convert to fraction form
   10,147.65/14,004.39 = 5,671.72/x
3. Step 3: Cross multiply
   10,147.65x = 14,004.39 × 5,671.72
4. Step 4: Simplify right side
   10,147.65x = 79,428,978.85
5. Step 5: Solve for x
   x = 79,428,978.85/10,147.65
6. Step 6: Final answer
   x = 7,827.33