Finding the Fourth Proportional to 1,233.02, 1,845.89 and 820.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.02 : 1,845.89 = 820.73 : x
2. Step 2: Convert to fraction form
   1,233.02/1,845.89 = 820.73/x
3. Step 3: Cross multiply
   1,233.02x = 1,845.89 × 820.73
4. Step 4: Simplify right side
   1,233.02x = 1,514,980.89
5. Step 5: Solve for x
   x = 1,514,980.89/1,233.02
6. Step 6: Final answer
   x = 1,228.67