Finding the Fourth Proportional to 2,770.84, 3,828.77 and 2,106.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.84 : 3,828.77 = 2,106.54 : x
2. Step 2: Convert to fraction form
   2,770.84/3,828.77 = 2,106.54/x
3. Step 3: Cross multiply
   2,770.84x = 3,828.77 × 2,106.54
4. Step 4: Simplify right side
   2,770.84x = 8,065,454.52
5. Step 5: Solve for x
   x = 8,065,454.52/2,770.84
6. Step 6: Final answer
   x = 2,910.83