Finding the Fourth Proportional to 1,026.20, 1,416.04 and 584.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.20 : 1,416.04 = 584.06 : x
2. Step 2: Convert to fraction form
   1,026.20/1,416.04 = 584.06/x
3. Step 3: Cross multiply
   1,026.20x = 1,416.04 × 584.06
4. Step 4: Simplify right side
   1,026.20x = 827,043.78
5. Step 5: Solve for x
   x = 827,043.78/1,026.20
6. Step 6: Final answer
   x = 805.93