Finding the Fourth Proportional to 1,185.81, 1,785.21 and 1,085.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.81 : 1,785.21 = 1,085.37 : x
2. Step 2: Convert to fraction form
   1,185.81/1,785.21 = 1,085.37/x
3. Step 3: Cross multiply
   1,185.81x = 1,785.21 × 1,085.37
4. Step 4: Simplify right side
   1,185.81x = 1,937,613.38
5. Step 5: Solve for x
   x = 1,937,613.38/1,185.81
6. Step 6: Final answer
   x = 1,634.00