Finding the Fourth Proportional to 2,114.36, 3,172.06 and 727.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.36 : 3,172.06 = 727.72 : x
2. Step 2: Convert to fraction form
   2,114.36/3,172.06 = 727.72/x
3. Step 3: Cross multiply
   2,114.36x = 3,172.06 × 727.72
4. Step 4: Simplify right side
   2,114.36x = 2,308,371.50
5. Step 5: Solve for x
   x = 2,308,371.50/2,114.36
6. Step 6: Final answer
   x = 1,091.76