Finding the Fourth Proportional to 1,026.52, 1,416.61 and 584.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.52 : 1,416.61 = 584.43 : x
2. Step 2: Convert to fraction form
   1,026.52/1,416.61 = 584.43/x
3. Step 3: Cross multiply
   1,026.52x = 1,416.61 × 584.43
4. Step 4: Simplify right side
   1,026.52x = 827,907.92
5. Step 5: Solve for x
   x = 827,907.92/1,026.52
6. Step 6: Final answer
   x = 806.52