Finding the Fourth Proportional to 1,026.29, 1,416.35 and 584.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.29 : 1,416.35 = 584.03 : x
2. Step 2: Convert to fraction form
   1,026.29/1,416.35 = 584.03/x
3. Step 3: Cross multiply
   1,026.29x = 1,416.35 × 584.03
4. Step 4: Simplify right side
   1,026.29x = 827,190.89
5. Step 5: Solve for x
   x = 827,190.89/1,026.29
6. Step 6: Final answer
   x = 806.00