Finding the Fourth Proportional to 1,046.50, 1,444.17 and 580.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.50 : 1,444.17 = 580.78 : x
2. Step 2: Convert to fraction form
   1,046.50/1,444.17 = 580.78/x
3. Step 3: Cross multiply
   1,046.50x = 1,444.17 × 580.78
4. Step 4: Simplify right side
   1,046.50x = 838,745.05
5. Step 5: Solve for x
   x = 838,745.05/1,046.50
6. Step 6: Final answer
   x = 801.48