Finding the Fourth Proportional to 1,365.72, 2,049.59 and 585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.72 : 2,049.59 = 585.69 : x
2. Step 2: Convert to fraction form
   1,365.72/2,049.59 = 585.69/x
3. Step 3: Cross multiply
   1,365.72x = 2,049.59 × 585.69
4. Step 4: Simplify right side
   1,365.72x = 1,200,424.37
5. Step 5: Solve for x
   x = 1,200,424.37/1,365.72
6. Step 6: Final answer
   x = 878.97