Finding the Fourth Proportional to 1,233.72, 1,851.41 and 584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.72 : 1,851.41 = 584.50 : x
2. Step 2: Convert to fraction form
   1,233.72/1,851.41 = 584.50/x
3. Step 3: Cross multiply
   1,233.72x = 1,851.41 × 584.50
4. Step 4: Simplify right side
   1,233.72x = 1,082,149.15
5. Step 5: Solve for x
   x = 1,082,149.15/1,233.72
6. Step 6: Final answer
   x = 877.14