Finding the Fourth Proportional to 1,046.92, 1,444.71 and 581.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.92 : 1,444.71 = 581.20 : x
2. Step 2: Convert to fraction form
   1,046.92/1,444.71 = 581.20/x
3. Step 3: Cross multiply
   1,046.92x = 1,444.71 × 581.20
4. Step 4: Simplify right side
   1,046.92x = 839,665.45
5. Step 5: Solve for x
   x = 839,665.45/1,046.92
6. Step 6: Final answer
   x = 802.03