Finding the Fourth Proportional to 2,971.38, 4,456.72 and 780.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,971.38 : 4,456.72 = 780.28 : x
2. Step 2: Convert to fraction form
   2,971.38/4,456.72 = 780.28/x
3. Step 3: Cross multiply
   2,971.38x = 4,456.72 × 780.28
4. Step 4: Simplify right side
   2,971.38x = 3,477,504.38
5. Step 5: Solve for x
   x = 3,477,504.38/2,971.38
6. Step 6: Final answer
   x = 1,170.33