Finding the Fourth Proportional to 2,055.63, 3,082.00 and 1,644.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.63 : 3,082.00 = 1,644.65 : x
2. Step 2: Convert to fraction form
   2,055.63/3,082.00 = 1,644.65/x
3. Step 3: Cross multiply
   2,055.63x = 3,082.00 × 1,644.65
4. Step 4: Simplify right side
   2,055.63x = 5,068,823.76
5. Step 5: Solve for x
   x = 5,068,823.76/2,055.63
6. Step 6: Final answer
   x = 2,465.83