Finding the Fourth Proportional to 2,782.46, 3,835.71 and 2,118.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.46 : 3,835.71 = 2,118.16 : x
2. Step 2: Convert to fraction form
   2,782.46/3,835.71 = 2,118.16/x
3. Step 3: Cross multiply
   2,782.46x = 3,835.71 × 2,118.16
4. Step 4: Simplify right side
   2,782.46x = 8,124,617.72
5. Step 5: Solve for x
   x = 8,124,617.72/2,782.46
6. Step 6: Final answer
   x = 2,919.94