Finding the Fourth Proportional to 2,768.52, 3,820.52 and 1,509.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.52 : 3,820.52 = 1,509.60 : x
2. Step 2: Convert to fraction form
   2,768.52/3,820.52 = 1,509.60/x
3. Step 3: Cross multiply
   2,768.52x = 3,820.52 × 1,509.60
4. Step 4: Simplify right side
   2,768.52x = 5,767,456.99
5. Step 5: Solve for x
   x = 5,767,456.99/2,768.52
6. Step 6: Final answer
   x = 2,083.23