Finding the Fourth Proportional to 2,114.62, 3,171.87 and 816.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.62 : 3,171.87 = 816.37 : x
2. Step 2: Convert to fraction form
   2,114.62/3,171.87 = 816.37/x
3. Step 3: Cross multiply
   2,114.62x = 3,171.87 × 816.37
4. Step 4: Simplify right side
   2,114.62x = 2,589,419.51
5. Step 5: Solve for x
   x = 2,589,419.51/2,114.62
6. Step 6: Final answer
   x = 1,224.53