Finding the Fourth Proportional to 2,778.50, 3,834.33 and 1,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.50 : 3,834.33 = 1,536.50 : x
2. Step 2: Convert to fraction form
   2,778.50/3,834.33 = 1,536.50/x
3. Step 3: Cross multiply
   2,778.50x = 3,834.33 × 1,536.50
4. Step 4: Simplify right side
   2,778.50x = 5,891,448.05
5. Step 5: Solve for x
   x = 5,891,448.05/2,778.50
6. Step 6: Final answer
   x = 2,120.37