Finding the Fourth Proportional to 1,046.06, 1,443.57 and 580.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.06 : 1,443.57 = 580.34 : x
2. Step 2: Convert to fraction form
   1,046.06/1,443.57 = 580.34/x
3. Step 3: Cross multiply
   1,046.06x = 1,443.57 × 580.34
4. Step 4: Simplify right side
   1,046.06x = 837,761.41
5. Step 5: Solve for x
   x = 837,761.41/1,046.06
6. Step 6: Final answer
   x = 800.87