Finding the Fourth Proportional to 3,786.89, 5,680.56 and 1,189.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.89 : 5,680.56 = 1,189.83 : x
2. Step 2: Convert to fraction form
   3,786.89/5,680.56 = 1,189.83/x
3. Step 3: Cross multiply
   3,786.89x = 5,680.56 × 1,189.83
4. Step 4: Simplify right side
   3,786.89x = 6,758,894.52
5. Step 5: Solve for x
   x = 6,758,894.52/3,786.89
6. Step 6: Final answer
   x = 1,784.81