Finding the Fourth Proportional to 1,026.27, 1,416.15 and 584.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.27 : 1,416.15 = 584.10 : x
2. Step 2: Convert to fraction form
   1,026.27/1,416.15 = 584.10/x
3. Step 3: Cross multiply
   1,026.27x = 1,416.15 × 584.10
4. Step 4: Simplify right side
   1,026.27x = 827,173.22
5. Step 5: Solve for x
   x = 827,173.22/1,026.27
6. Step 6: Final answer
   x = 806.00