Finding the Fourth Proportional to 705.89, 1,058.83 and 686.45

Step by Step Solution

1. Step 1: Write the proportion equation
   705.89 : 1,058.83 = 686.45 : x
2. Step 2: Convert to fraction form
   705.89/1,058.83 = 686.45/x
3. Step 3: Cross multiply
   705.89x = 1,058.83 × 686.45
4. Step 4: Simplify right side
   705.89x = 726,834.78
5. Step 5: Solve for x
   x = 726,834.78/705.89
6. Step 6: Final answer
   x = 1,029.67