Finding the Fourth Proportional to 1,146.42, 1,580.40 and 814.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.42 : 1,580.40 = 814.73 : x
2. Step 2: Convert to fraction form
   1,146.42/1,580.40 = 814.73/x
3. Step 3: Cross multiply
   1,146.42x = 1,580.40 × 814.73
4. Step 4: Simplify right side
   1,146.42x = 1,287,591.39
5. Step 5: Solve for x
   x = 1,287,591.39/1,146.42
6. Step 6: Final answer
   x = 1,123.14