Finding the Fourth Proportional to 1,049.89, 1,448.82 and 584.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.89 : 1,448.82 = 584.14 : x
2. Step 2: Convert to fraction form
   1,049.89/1,448.82 = 584.14/x
3. Step 3: Cross multiply
   1,049.89x = 1,448.82 × 584.14
4. Step 4: Simplify right side
   1,049.89x = 846,313.71
5. Step 5: Solve for x
   x = 846,313.71/1,049.89
6. Step 6: Final answer
   x = 806.10