Finding the Fourth Proportional to 2,778.88, 3,834.96 and 1,537.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.88 : 3,834.96 = 1,537.12 : x
2. Step 2: Convert to fraction form
   2,778.88/3,834.96 = 1,537.12/x
3. Step 3: Cross multiply
   2,778.88x = 3,834.96 × 1,537.12
4. Step 4: Simplify right side
   2,778.88x = 5,894,793.72
5. Step 5: Solve for x
   x = 5,894,793.72/2,778.88
6. Step 6: Final answer
   x = 2,121.28