Finding the Fourth Proportional to 11,749, 17,614.16 and 5,821.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749 : 17,614.16 = 5,821.72 : x
2. Step 2: Convert to fraction form
   11,749/17,614.16 = 5,821.72/x
3. Step 3: Cross multiply
   11,749x = 17,614.16 × 5,821.72
4. Step 4: Simplify right side
   11,749x = 102,544,707.56
5. Step 5: Solve for x
   x = 102,544,707.56/11,749
6. Step 6: Final answer
   x = 8,727.95