Finding the Fourth Proportional to 2,114.62, 3,172.15 and 727.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.62 : 3,172.15 = 727.78 : x
2. Step 2: Convert to fraction form
   2,114.62/3,172.15 = 727.78/x
3. Step 3: Cross multiply
   2,114.62x = 3,172.15 × 727.78
4. Step 4: Simplify right side
   2,114.62x = 2,308,607.83
5. Step 5: Solve for x
   x = 2,308,607.83/2,114.62
6. Step 6: Final answer
   x = 1,091.74