Finding the Fourth Proportional to 1,185.84, 1,766.61 and 1,172.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.84 : 1,766.61 = 1,172.88 : x
2. Step 2: Convert to fraction form
   1,185.84/1,766.61 = 1,172.88/x
3. Step 3: Cross multiply
   1,185.84x = 1,766.61 × 1,172.88
4. Step 4: Simplify right side
   1,185.84x = 2,072,021.54
5. Step 5: Solve for x
   x = 2,072,021.54/1,185.84
6. Step 6: Final answer
   x = 1,747.30