Finding the Fourth Proportional to 2,013.63, 3,019.02 and 780.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013.63 : 3,019.02 = 780.94 : x
2. Step 2: Convert to fraction form
   2,013.63/3,019.02 = 780.94/x
3. Step 3: Cross multiply
   2,013.63x = 3,019.02 × 780.94
4. Step 4: Simplify right side
   2,013.63x = 2,357,673.48
5. Step 5: Solve for x
   x = 2,357,673.48/2,013.63
6. Step 6: Final answer
   x = 1,170.86