Finding the Fourth Proportional to 2,069.65, 2,856.09 and 1,185.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.65 : 2,856.09 = 1,185.67 : x
2. Step 2: Convert to fraction form
   2,069.65/2,856.09 = 1,185.67/x
3. Step 3: Cross multiply
   2,069.65x = 2,856.09 × 1,185.67
4. Step 4: Simplify right side
   2,069.65x = 3,386,380.23
5. Step 5: Solve for x
   x = 3,386,380.23/2,069.65
6. Step 6: Final answer
   x = 1,636.21