Finding the Fourth Proportional to 1,058.52, 1,460.69 and 586.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.52 : 1,460.69 = 586.43 : x
2. Step 2: Convert to fraction form
   1,058.52/1,460.69 = 586.43/x
3. Step 3: Cross multiply
   1,058.52x = 1,460.69 × 586.43
4. Step 4: Simplify right side
   1,058.52x = 856,582.20
5. Step 5: Solve for x
   x = 856,582.20/1,058.52
6. Step 6: Final answer
   x = 809.23