Finding the Fourth Proportional to 1,194.69, 1,644.93 and 1,085.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.69 : 1,644.93 = 1,085.34 : x
2. Step 2: Convert to fraction form
   1,194.69/1,644.93 = 1,085.34/x
3. Step 3: Cross multiply
   1,194.69x = 1,644.93 × 1,085.34
4. Step 4: Simplify right side
   1,194.69x = 1,785,308.33
5. Step 5: Solve for x
   x = 1,785,308.33/1,194.69
6. Step 6: Final answer
   x = 1,494.37