Finding the Fourth Proportional to 2,778.86, 3,834.81 and 1,536.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.86 : 3,834.81 = 1,536.86 : x
2. Step 2: Convert to fraction form
   2,778.86/3,834.81 = 1,536.86/x
3. Step 3: Cross multiply
   2,778.86x = 3,834.81 × 1,536.86
4. Step 4: Simplify right side
   2,778.86x = 5,893,546.92
5. Step 5: Solve for x
   x = 5,893,546.92/2,778.86
6. Step 6: Final answer
   x = 2,120.85