Finding the Fourth Proportional to 1,026.46, 1,416.43 and 584.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.46 : 1,416.43 = 584.27 : x
2. Step 2: Convert to fraction form
   1,026.46/1,416.43 = 584.27/x
3. Step 3: Cross multiply
   1,026.46x = 1,416.43 × 584.27
4. Step 4: Simplify right side
   1,026.46x = 827,577.56
5. Step 5: Solve for x
   x = 827,577.56/1,026.46
6. Step 6: Final answer
   x = 806.25