Finding the Fourth Proportional to 2,069.49, 2,855.90 and 1,185.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.49 : 2,855.90 = 1,185.30 : x
2. Step 2: Convert to fraction form
   2,069.49/2,855.90 = 1,185.30/x
3. Step 3: Cross multiply
   2,069.49x = 2,855.90 × 1,185.30
4. Step 4: Simplify right side
   2,069.49x = 3,385,092.34
5. Step 5: Solve for x
   x = 3,385,092.34/2,069.49
6. Step 6: Final answer
   x = 1,635.71