Finding the Fourth Proportional to 2,768.75, 3,820.78 and 1,509.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.75 : 3,820.78 = 1,509.77 : x
2. Step 2: Convert to fraction form
   2,768.75/3,820.78 = 1,509.77/x
3. Step 3: Cross multiply
   2,768.75x = 3,820.78 × 1,509.77
4. Step 4: Simplify right side
   2,768.75x = 5,768,499.02
5. Step 5: Solve for x
   x = 5,768,499.02/2,768.75
6. Step 6: Final answer
   x = 2,083.43