Finding the Fourth Proportional to 1,046.12, 1,443.50 and 580.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.12 : 1,443.50 = 580.40 : x
2. Step 2: Convert to fraction form
   1,046.12/1,443.50 = 580.40/x
3. Step 3: Cross multiply
   1,046.12x = 1,443.50 × 580.40
4. Step 4: Simplify right side
   1,046.12x = 837,807.40
5. Step 5: Solve for x
   x = 837,807.40/1,046.12
6. Step 6: Final answer
   x = 800.87