Finding the Fourth Proportional to 2,384.82, 3,581.46 and 2,078.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.82 : 3,581.46 = 2,078.64 : x
2. Step 2: Convert to fraction form
   2,384.82/3,581.46 = 2,078.64/x
3. Step 3: Cross multiply
   2,384.82x = 3,581.46 × 2,078.64
4. Step 4: Simplify right side
   2,384.82x = 7,444,566.01
5. Step 5: Solve for x
   x = 7,444,566.01/2,384.82
6. Step 6: Final answer
   x = 3,121.65