Finding the Fourth Proportional to 2,114.31, 2,917.69 and 1,170.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.31 : 2,917.69 = 1,170.16 : x
2. Step 2: Convert to fraction form
   2,114.31/2,917.69 = 1,170.16/x
3. Step 3: Cross multiply
   2,114.31x = 2,917.69 × 1,170.16
4. Step 4: Simplify right side
   2,114.31x = 3,414,164.13
5. Step 5: Solve for x
   x = 3,414,164.13/2,114.31
6. Step 6: Final answer
   x = 1,614.79