Finding the Fourth Proportional to 11,940.86, 17,906.38 and 5,186.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,940.86 : 17,906.38 = 5,186.88 : x
2. Step 2: Convert to fraction form
   11,940.86/17,906.38 = 5,186.88/x
3. Step 3: Cross multiply
   11,940.86x = 17,906.38 × 5,186.88
4. Step 4: Simplify right side
   11,940.86x = 92,878,231.33
5. Step 5: Solve for x
   x = 92,878,231.33/11,940.86
6. Step 6: Final answer
   x = 7,778.18