Finding the Fourth Proportional to 3,685.94, 5,077.67 and 2,740.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.94 : 5,077.67 = 2,740.10 : x
2. Step 2: Convert to fraction form
   3,685.94/5,077.67 = 2,740.10/x
3. Step 3: Cross multiply
   3,685.94x = 5,077.67 × 2,740.10
4. Step 4: Simplify right side
   3,685.94x = 13,913,328.45
5. Step 5: Solve for x
   x = 13,913,328.45/3,685.94
6. Step 6: Final answer
   x = 3,774.70