Finding the Fourth Proportional to 1,205.69, 1,665.16 and 945.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.69 : 1,665.16 = 945.68 : x
2. Step 2: Convert to fraction form
   1,205.69/1,665.16 = 945.68/x
3. Step 3: Cross multiply
   1,205.69x = 1,665.16 × 945.68
4. Step 4: Simplify right side
   1,205.69x = 1,574,697.82
5. Step 5: Solve for x
   x = 1,574,697.82/1,205.69
6. Step 6: Final answer
   x = 1,306.06