Finding the Fourth Proportional to 2,082.98, 2,874.56 and 1,186.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.98 : 2,874.56 = 1,186.85 : x
2. Step 2: Convert to fraction form
   2,082.98/2,874.56 = 1,186.85/x
3. Step 3: Cross multiply
   2,082.98x = 2,874.56 × 1,186.85
4. Step 4: Simplify right side
   2,082.98x = 3,411,672.79
5. Step 5: Solve for x
   x = 3,411,672.79/2,082.98
6. Step 6: Final answer
   x = 1,637.88