Finding the Fourth Proportional to 705.86, 1,059.89 and 674.67

Step by Step Solution

1. Step 1: Write the proportion equation
   705.86 : 1,059.89 = 674.67 : x
2. Step 2: Convert to fraction form
   705.86/1,059.89 = 674.67/x
3. Step 3: Cross multiply
   705.86x = 1,059.89 × 674.67
4. Step 4: Simplify right side
   705.86x = 715,079.30
5. Step 5: Solve for x
   x = 715,079.30/705.86
6. Step 6: Final answer
   x = 1,013.05