Finding the Fourth Proportional to 2,768.53, 3,820.51 and 1,509.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.53 : 3,820.51 = 1,509.59 : x
2. Step 2: Convert to fraction form
   2,768.53/3,820.51 = 1,509.59/x
3. Step 3: Cross multiply
   2,768.53x = 3,820.51 × 1,509.59
4. Step 4: Simplify right side
   2,768.53x = 5,767,403.69
5. Step 5: Solve for x
   x = 5,767,403.69/2,768.53
6. Step 6: Final answer
   x = 2,083.20