Finding the Fourth Proportional to 1,768.38, 2,646.09 and 1,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,768.38 : 2,646.09 = 1,189.50 : x
2. Step 2: Convert to fraction form
   1,768.38/2,646.09 = 1,189.50/x
3. Step 3: Cross multiply
   1,768.38x = 2,646.09 × 1,189.50
4. Step 4: Simplify right side
   1,768.38x = 3,147,524.06
5. Step 5: Solve for x
   x = 3,147,524.06/1,768.38
6. Step 6: Final answer
   x = 1,779.89