Finding the Fourth Proportional to 1,046.46, 1,444.12 and 598.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.46 : 1,444.12 = 598.27 : x
2. Step 2: Convert to fraction form
   1,046.46/1,444.12 = 598.27/x
3. Step 3: Cross multiply
   1,046.46x = 1,444.12 × 598.27
4. Step 4: Simplify right side
   1,046.46x = 863,973.67
5. Step 5: Solve for x
   x = 863,973.67/1,046.46
6. Step 6: Final answer
   x = 825.62