Finding the Fourth Proportional to 2,071.52, 2,855.68 and 1,628.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.52 : 2,855.68 = 1,628.65 : x
2. Step 2: Convert to fraction form
   2,071.52/2,855.68 = 1,628.65/x
3. Step 3: Cross multiply
   2,071.52x = 2,855.68 × 1,628.65
4. Step 4: Simplify right side
   2,071.52x = 4,650,902.73
5. Step 5: Solve for x
   x = 4,650,902.73/2,071.52
6. Step 6: Final answer
   x = 2,245.17