Finding the Fourth Proportional to 1,189.05, 1,791.69 and 977.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.05 : 1,791.69 = 977.37 : x
2. Step 2: Convert to fraction form
   1,189.05/1,791.69 = 977.37/x
3. Step 3: Cross multiply
   1,189.05x = 1,791.69 × 977.37
4. Step 4: Simplify right side
   1,189.05x = 1,751,144.06
5. Step 5: Solve for x
   x = 1,751,144.06/1,189.05
6. Step 6: Final answer
   x = 1,472.73