Finding the Fourth Proportional to 2,013.10, 3,019.17 and 780.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013.10 : 3,019.17 = 780.01 : x
2. Step 2: Convert to fraction form
   2,013.10/3,019.17 = 780.01/x
3. Step 3: Cross multiply
   2,013.10x = 3,019.17 × 780.01
4. Step 4: Simplify right side
   2,013.10x = 2,354,982.79
5. Step 5: Solve for x
   x = 2,354,982.79/2,013.10
6. Step 6: Final answer
   x = 1,169.83