Finding the Fourth Proportional to 1,058.18, 1,586.59 and 509.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.18 : 1,586.59 = 509.27 : x
2. Step 2: Convert to fraction form
   1,058.18/1,586.59 = 509.27/x
3. Step 3: Cross multiply
   1,058.18x = 1,586.59 × 509.27
4. Step 4: Simplify right side
   1,058.18x = 808,002.69
5. Step 5: Solve for x
   x = 808,002.69/1,058.18
6. Step 6: Final answer
   x = 763.58