Finding the Fourth Proportional to 1,185.84, 1,635.72 and 853.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.84 : 1,635.72 = 853.74 : x
2. Step 2: Convert to fraction form
   1,185.84/1,635.72 = 853.74/x
3. Step 3: Cross multiply
   1,185.84x = 1,635.72 × 853.74
4. Step 4: Simplify right side
   1,185.84x = 1,396,479.59
5. Step 5: Solve for x
   x = 1,396,479.59/1,185.84
6. Step 6: Final answer
   x = 1,177.63