Finding the Fourth Proportional to 11,768.22, 17,656.92 and 5,189.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,768.22 : 17,656.92 = 5,189.82 : x
2. Step 2: Convert to fraction form
   11,768.22/17,656.92 = 5,189.82/x
3. Step 3: Cross multiply
   11,768.22x = 17,656.92 × 5,189.82
4. Step 4: Simplify right side
   11,768.22x = 91,636,236.55
5. Step 5: Solve for x
   x = 91,636,236.55/11,768.22
6. Step 6: Final answer
   x = 7,786.75