Finding the Fourth Proportional to 2,086.23, 3,127.17 and 853.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.23 : 3,127.17 = 853.14 : x
2. Step 2: Convert to fraction form
   2,086.23/3,127.17 = 853.14/x
3. Step 3: Cross multiply
   2,086.23x = 3,127.17 × 853.14
4. Step 4: Simplify right side
   2,086.23x = 2,667,913.81
5. Step 5: Solve for x
   x = 2,667,913.81/2,086.23
6. Step 6: Final answer
   x = 1,278.82