Finding the Fourth Proportional to 1,815.40, 2,504.50 and 1,185.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815.40 : 2,504.50 = 1,185.71 : x
2. Step 2: Convert to fraction form
   1,815.40/2,504.50 = 1,185.71/x
3. Step 3: Cross multiply
   1,815.40x = 2,504.50 × 1,185.71
4. Step 4: Simplify right side
   1,815.40x = 2,969,592.24
5. Step 5: Solve for x
   x = 2,969,592.24/1,815.40
6. Step 6: Final answer
   x = 1,635.78