Finding the Fourth Proportional to 1,854.31, 2,782.56 and 814.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.31 : 2,782.56 = 814.54 : x
2. Step 2: Convert to fraction form
   1,854.31/2,782.56 = 814.54/x
3. Step 3: Cross multiply
   1,854.31x = 2,782.56 × 814.54
4. Step 4: Simplify right side
   1,854.31x = 2,266,506.42
5. Step 5: Solve for x
   x = 2,266,506.42/1,854.31
6. Step 6: Final answer
   x = 1,222.29