Finding the Fourth Proportional to 12,191.23, 18,261.33 and 7,786.27

Step by Step Solution

1. Step 1: Write the proportion equation
   12,191.23 : 18,261.33 = 7,786.27 : x
2. Step 2: Convert to fraction form
   12,191.23/18,261.33 = 7,786.27/x
3. Step 3: Cross multiply
   12,191.23x = 18,261.33 × 7,786.27
4. Step 4: Simplify right side
   12,191.23x = 142,187,645.94
5. Step 5: Solve for x
   x = 142,187,645.94/12,191.23
6. Step 6: Final answer
   x = 11,663.11