Finding the Fourth Proportional to 1,046.16, 1,443.60 and 580.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.16 : 1,443.60 = 580.38 : x
2. Step 2: Convert to fraction form
   1,046.16/1,443.60 = 580.38/x
3. Step 3: Cross multiply
   1,046.16x = 1,443.60 × 580.38
4. Step 4: Simplify right side
   1,046.16x = 837,836.57
5. Step 5: Solve for x
   x = 837,836.57/1,046.16
6. Step 6: Final answer
   x = 800.87