Finding the Fourth Proportional to 2,109.45, 2,905.43 and 1,828.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.45 : 2,905.43 = 1,828.65 : x
2. Step 2: Convert to fraction form
   2,109.45/2,905.43 = 1,828.65/x
3. Step 3: Cross multiply
   2,109.45x = 2,905.43 × 1,828.65
4. Step 4: Simplify right side
   2,109.45x = 5,313,005.43
5. Step 5: Solve for x
   x = 5,313,005.43/2,109.45
6. Step 6: Final answer
   x = 2,518.67