Finding the Fourth Proportional to 2,738.90, 3,780.15 and 2,647.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.90 : 3,780.15 = 2,647.77 : x
2. Step 2: Convert to fraction form
   2,738.90/3,780.15 = 2,647.77/x
3. Step 3: Cross multiply
   2,738.90x = 3,780.15 × 2,647.77
4. Step 4: Simplify right side
   2,738.90x = 10,008,967.77
5. Step 5: Solve for x
   x = 10,008,967.77/2,738.90
6. Step 6: Final answer
   x = 3,654.38