Finding the Fourth Proportional to 1,233.98, 1,851.20 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.98 : 1,851.20 = 584.72 : x
2. Step 2: Convert to fraction form
   1,233.98/1,851.20 = 584.72/x
3. Step 3: Cross multiply
   1,233.98x = 1,851.20 × 584.72
4. Step 4: Simplify right side
   1,233.98x = 1,082,433.91
5. Step 5: Solve for x
   x = 1,082,433.91/1,233.98
6. Step 6: Final answer
   x = 877.19