Finding the Fourth Proportional to 1,185.82, 1,785.14 and 1,066.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.82 : 1,785.14 = 1,066.75 : x
2. Step 2: Convert to fraction form
   1,185.82/1,785.14 = 1,066.75/x
3. Step 3: Cross multiply
   1,185.82x = 1,785.14 × 1,066.75
4. Step 4: Simplify right side
   1,185.82x = 1,904,298.10
5. Step 5: Solve for x
   x = 1,904,298.10/1,185.82
6. Step 6: Final answer
   x = 1,605.89