Finding the Fourth Proportional to 11,826.56, 17,744.16 and 7,212.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826.56 : 17,744.16 = 7,212.80 : x
2. Step 2: Convert to fraction form
   11,826.56/17,744.16 = 7,212.80/x
3. Step 3: Cross multiply
   11,826.56x = 17,744.16 × 7,212.80
4. Step 4: Simplify right side
   11,826.56x = 127,985,077.25
5. Step 5: Solve for x
   x = 127,985,077.25/11,826.56
6. Step 6: Final answer
   x = 10,821.83