Finding the Fourth Proportional to 2,012.72, 3,019.54 and 780.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012.72 : 3,019.54 = 780.14 : x
2. Step 2: Convert to fraction form
   2,012.72/3,019.54 = 780.14/x
3. Step 3: Cross multiply
   2,012.72x = 3,019.54 × 780.14
4. Step 4: Simplify right side
   2,012.72x = 2,355,663.94
5. Step 5: Solve for x
   x = 2,355,663.94/2,012.72
6. Step 6: Final answer
   x = 1,170.39