Finding the Fourth Proportional to 2,114.60, 3,171.18 and 727.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.60 : 3,171.18 = 727.70 : x
2. Step 2: Convert to fraction form
   2,114.60/3,171.18 = 727.70/x
3. Step 3: Cross multiply
   2,114.60x = 3,171.18 × 727.70
4. Step 4: Simplify right side
   2,114.60x = 2,307,667.69
5. Step 5: Solve for x
   x = 2,307,667.69/2,114.60
6. Step 6: Final answer
   x = 1,091.30