Finding the Fourth Proportional to 1,257.42, 1,734.06 and 814.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.42 : 1,734.06 = 814.82 : x
2. Step 2: Convert to fraction form
   1,257.42/1,734.06 = 814.82/x
3. Step 3: Cross multiply
   1,257.42x = 1,734.06 × 814.82
4. Step 4: Simplify right side
   1,257.42x = 1,412,946.77
5. Step 5: Solve for x
   x = 1,412,946.77/1,257.42
6. Step 6: Final answer
   x = 1,123.69