Finding the Fourth Proportional to 1,026.48, 1,416.42 and 584.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.48 : 1,416.42 = 584.34 : x
2. Step 2: Convert to fraction form
   1,026.48/1,416.42 = 584.34/x
3. Step 3: Cross multiply
   1,026.48x = 1,416.42 × 584.34
4. Step 4: Simplify right side
   1,026.48x = 827,670.86
5. Step 5: Solve for x
   x = 827,670.86/1,026.48
6. Step 6: Final answer
   x = 806.32