Finding the Fourth Proportional to 2,114.83, 3,171.46 and 727.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.83 : 3,171.46 = 727.78 : x
2. Step 2: Convert to fraction form
   2,114.83/3,171.46 = 727.78/x
3. Step 3: Cross multiply
   2,114.83x = 3,171.46 × 727.78
4. Step 4: Simplify right side
   2,114.83x = 2,308,123.34
5. Step 5: Solve for x
   x = 2,308,123.34/2,114.83
6. Step 6: Final answer
   x = 1,091.40