Finding the Fourth Proportional to 2,768.76, 3,822.76 and 2,109.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.76 : 3,822.76 = 2,109.02 : x
2. Step 2: Convert to fraction form
   2,768.76/3,822.76 = 2,109.02/x
3. Step 3: Cross multiply
   2,768.76x = 3,822.76 × 2,109.02
4. Step 4: Simplify right side
   2,768.76x = 8,062,277.30
5. Step 5: Solve for x
   x = 8,062,277.30/2,768.76
6. Step 6: Final answer
   x = 2,911.87