Finding the Fourth Proportional to 1,026.58, 1,416.63 and 584.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.58 : 1,416.63 = 584.59 : x
2. Step 2: Convert to fraction form
   1,026.58/1,416.63 = 584.59/x
3. Step 3: Cross multiply
   1,026.58x = 1,416.63 × 584.59
4. Step 4: Simplify right side
   1,026.58x = 828,147.73
5. Step 5: Solve for x
   x = 828,147.73/1,026.58
6. Step 6: Final answer
   x = 806.71