Finding the Fourth Proportional to 11,856.88, 17,786.34 and 3,091.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,856.88 : 17,786.34 = 3,091.80 : x
2. Step 2: Convert to fraction form
   11,856.88/17,786.34 = 3,091.80/x
3. Step 3: Cross multiply
   11,856.88x = 17,786.34 × 3,091.80
4. Step 4: Simplify right side
   11,856.88x = 54,991,806.01
5. Step 5: Solve for x
   x = 54,991,806.01/11,856.88
6. Step 6: Final answer
   x = 4,637.97