Finding the Fourth Proportional to 1,049.79, 1,448.78 and 584.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.79 : 1,448.78 = 584.04 : x
2. Step 2: Convert to fraction form
   1,049.79/1,448.78 = 584.04/x
3. Step 3: Cross multiply
   1,049.79x = 1,448.78 × 584.04
4. Step 4: Simplify right side
   1,049.79x = 846,142.55
5. Step 5: Solve for x
   x = 846,142.55/1,049.79
6. Step 6: Final answer
   x = 806.01