Finding the Fourth Proportional to 1,086.24, 1,630.67 and 852.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.24 : 1,630.67 = 852.69 : x
2. Step 2: Convert to fraction form
   1,086.24/1,630.67 = 852.69/x
3. Step 3: Cross multiply
   1,086.24x = 1,630.67 × 852.69
4. Step 4: Simplify right side
   1,086.24x = 1,390,457.85
5. Step 5: Solve for x
   x = 1,390,457.85/1,086.24
6. Step 6: Final answer
   x = 1,280.06