Finding the Fourth Proportional to 1,378.69, 2,064.61 and 965.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.69 : 2,064.61 = 965.89 : x
2. Step 2: Convert to fraction form
   1,378.69/2,064.61 = 965.89/x
3. Step 3: Cross multiply
   1,378.69x = 2,064.61 × 965.89
4. Step 4: Simplify right side
   1,378.69x = 1,994,186.15
5. Step 5: Solve for x
   x = 1,994,186.15/1,378.69
6. Step 6: Final answer
   x = 1,446.44