Finding the Fourth Proportional to 2,768.78, 3,820.89 and 1,509.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.78 : 3,820.89 = 1,509.80 : x
2. Step 2: Convert to fraction form
   2,768.78/3,820.89 = 1,509.80/x
3. Step 3: Cross multiply
   2,768.78x = 3,820.89 × 1,509.80
4. Step 4: Simplify right side
   2,768.78x = 5,768,779.72
5. Step 5: Solve for x
   x = 5,768,779.72/2,768.78
6. Step 6: Final answer
   x = 2,083.51