Finding the Fourth Proportional to 1,026.47, 1,416.50 and 584.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.47 : 1,416.50 = 584.30 : x
2. Step 2: Convert to fraction form
   1,026.47/1,416.50 = 584.30/x
3. Step 3: Cross multiply
   1,026.47x = 1,416.50 × 584.30
4. Step 4: Simplify right side
   1,026.47x = 827,650.95
5. Step 5: Solve for x
   x = 827,650.95/1,026.47
6. Step 6: Final answer
   x = 806.31