Finding the Fourth Proportional to 1,123.74, 1,548.90 and 828.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.74 : 1,548.90 = 828.54 : x
2. Step 2: Convert to fraction form
   1,123.74/1,548.90 = 828.54/x
3. Step 3: Cross multiply
   1,123.74x = 1,548.90 × 828.54
4. Step 4: Simplify right side
   1,123.74x = 1,283,325.61
5. Step 5: Solve for x
   x = 1,283,325.61/1,123.74
6. Step 6: Final answer
   x = 1,142.01