Finding the Fourth Proportional to 1,058.41, 1,460.71 and 586.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.41 : 1,460.71 = 586.42 : x
2. Step 2: Convert to fraction form
   1,058.41/1,460.71 = 586.42/x
3. Step 3: Cross multiply
   1,058.41x = 1,460.71 × 586.42
4. Step 4: Simplify right side
   1,058.41x = 856,589.56
5. Step 5: Solve for x
   x = 856,589.56/1,058.41
6. Step 6: Final answer
   x = 809.32