Finding the Fourth Proportional to 1,026.48, 1,416.71 and 584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.48 : 1,416.71 = 584.52 : x
2. Step 2: Convert to fraction form
   1,026.48/1,416.71 = 584.52/x
3. Step 3: Cross multiply
   1,026.48x = 1,416.71 × 584.52
4. Step 4: Simplify right side
   1,026.48x = 828,092.41
5. Step 5: Solve for x
   x = 828,092.41/1,026.48
6. Step 6: Final answer
   x = 806.73