Finding the Fourth Proportional to 1,291.55, 1,782.56 and 849.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.55 : 1,782.56 = 849.43 : x
2. Step 2: Convert to fraction form
   1,291.55/1,782.56 = 849.43/x
3. Step 3: Cross multiply
   1,291.55x = 1,782.56 × 849.43
4. Step 4: Simplify right side
   1,291.55x = 1,514,146.78
5. Step 5: Solve for x
   x = 1,514,146.78/1,291.55
6. Step 6: Final answer
   x = 1,172.35