Finding the Fourth Proportional to 2,106.81, 3,172.77 and 1,836.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106.81 : 3,172.77 = 1,836.27 : x
2. Step 2: Convert to fraction form
   2,106.81/3,172.77 = 1,836.27/x
3. Step 3: Cross multiply
   2,106.81x = 3,172.77 × 1,836.27
4. Step 4: Simplify right side
   2,106.81x = 5,826,062.37
5. Step 5: Solve for x
   x = 5,826,062.37/2,106.81
6. Step 6: Final answer
   x = 2,765.35