Finding the Fourth Proportional to 2,778.16, 3,833.72 and 1,535.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.16 : 3,833.72 = 1,535.92 : x
2. Step 2: Convert to fraction form
   2,778.16/3,833.72 = 1,535.92/x
3. Step 3: Cross multiply
   2,778.16x = 3,833.72 × 1,535.92
4. Step 4: Simplify right side
   2,778.16x = 5,888,287.22
5. Step 5: Solve for x
   x = 5,888,287.22/2,778.16
6. Step 6: Final answer
   x = 2,119.49