Finding the Fourth Proportional to 1,026.41, 1,416.17 and 584.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.41 : 1,416.17 = 584.30 : x
2. Step 2: Convert to fraction form
   1,026.41/1,416.17 = 584.30/x
3. Step 3: Cross multiply
   1,026.41x = 1,416.17 × 584.30
4. Step 4: Simplify right side
   1,026.41x = 827,468.13
5. Step 5: Solve for x
   x = 827,468.13/1,026.41
6. Step 6: Final answer
   x = 806.18