Finding the Fourth Proportional to 2,780.05, 3,854.60 and 2,648.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.05 : 3,854.60 = 2,648.53 : x
2. Step 2: Convert to fraction form
   2,780.05/3,854.60 = 2,648.53/x
3. Step 3: Cross multiply
   2,780.05x = 3,854.60 × 2,648.53
4. Step 4: Simplify right side
   2,780.05x = 10,209,017.12
5. Step 5: Solve for x
   x = 10,209,017.12/2,780.05
6. Step 6: Final answer
   x = 3,672.24