Finding the Fourth Proportional to 1,114.73, 1,665.71 and 849.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.73 : 1,665.71 = 849.72 : x
2. Step 2: Convert to fraction form
   1,114.73/1,665.71 = 849.72/x
3. Step 3: Cross multiply
   1,114.73x = 1,665.71 × 849.72
4. Step 4: Simplify right side
   1,114.73x = 1,415,387.10
5. Step 5: Solve for x
   x = 1,415,387.10/1,114.73
6. Step 6: Final answer
   x = 1,269.71