Finding the Fourth Proportional to 1,123.47, 1,550.34 and 828.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.47 : 1,550.34 = 828.63 : x
2. Step 2: Convert to fraction form
   1,123.47/1,550.34 = 828.63/x
3. Step 3: Cross multiply
   1,123.47x = 1,550.34 × 828.63
4. Step 4: Simplify right side
   1,123.47x = 1,284,658.23
5. Step 5: Solve for x
   x = 1,284,658.23/1,123.47
6. Step 6: Final answer
   x = 1,143.47