Finding the Fourth Proportional to 1,046.56, 1,444.12 and 580.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.56 : 1,444.12 = 580.72 : x
2. Step 2: Convert to fraction form
   1,046.56/1,444.12 = 580.72/x
3. Step 3: Cross multiply
   1,046.56x = 1,444.12 × 580.72
4. Step 4: Simplify right side
   1,046.56x = 838,629.37
5. Step 5: Solve for x
   x = 838,629.37/1,046.56
6. Step 6: Final answer
   x = 801.32