Finding the Fourth Proportional to 1,123.83, 1,549.42 and 828.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.83 : 1,549.42 = 828.58 : x
2. Step 2: Convert to fraction form
   1,123.83/1,549.42 = 828.58/x
3. Step 3: Cross multiply
   1,123.83x = 1,549.42 × 828.58
4. Step 4: Simplify right side
   1,123.83x = 1,283,818.42
5. Step 5: Solve for x
   x = 1,283,818.42/1,123.83
6. Step 6: Final answer
   x = 1,142.36