Finding the Fourth Proportional to 1,365.20, 2,046.18 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.20 : 2,046.18 = 584.72 : x
2. Step 2: Convert to fraction form
   1,365.20/2,046.18 = 584.72/x
3. Step 3: Cross multiply
   1,365.20x = 2,046.18 × 584.72
4. Step 4: Simplify right side
   1,365.20x = 1,196,442.37
5. Step 5: Solve for x
   x = 1,196,442.37/1,365.20
6. Step 6: Final answer
   x = 876.39