Finding the Fourth Proportional to 2,772.15, 3,823.02 and 2,065.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.15 : 3,823.02 = 2,065.74 : x
2. Step 2: Convert to fraction form
   2,772.15/3,823.02 = 2,065.74/x
3. Step 3: Cross multiply
   2,772.15x = 3,823.02 × 2,065.74
4. Step 4: Simplify right side
   2,772.15x = 7,897,365.33
5. Step 5: Solve for x
   x = 7,897,365.33/2,772.15
6. Step 6: Final answer
   x = 2,848.82