Finding the Fourth Proportional to 2,409, 3,613.86 and 849.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409 : 3,613.86 = 849.42 : x
2. Step 2: Convert to fraction form
   2,409/3,613.86 = 849.42/x
3. Step 3: Cross multiply
   2,409x = 3,613.86 × 849.42
4. Step 4: Simplify right side
   2,409x = 3,069,684.96
5. Step 5: Solve for x
   x = 3,069,684.96/2,409
6. Step 6: Final answer
   x = 1,274.26