Finding the Fourth Proportional to 2,742.05, 3,784.57 and 2,077.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.05 : 3,784.57 = 2,077.74 : x
2. Step 2: Convert to fraction form
   2,742.05/3,784.57 = 2,077.74/x
3. Step 3: Cross multiply
   2,742.05x = 3,784.57 × 2,077.74
4. Step 4: Simplify right side
   2,742.05x = 7,863,347.28
5. Step 5: Solve for x
   x = 7,863,347.28/2,742.05
6. Step 6: Final answer
   x = 2,867.69