Finding the Fourth Proportional to 2,082.72, 2,874 and 1,186.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.72 : 2,874 = 1,186.23 : x
2. Step 2: Convert to fraction form
   2,082.72/2,874 = 1,186.23/x
3. Step 3: Cross multiply
   2,082.72x = 2,874 × 1,186.23
4. Step 4: Simplify right side
   2,082.72x = 3,409,225.02
5. Step 5: Solve for x
   x = 3,409,225.02/2,082.72
6. Step 6: Final answer
   x = 1,636.91