Finding the Fourth Proportional to 2,109.15, 2,914.47 and 1,828.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.15 : 2,914.47 = 1,828.47 : x
2. Step 2: Convert to fraction form
   2,109.15/2,914.47 = 1,828.47/x
3. Step 3: Cross multiply
   2,109.15x = 2,914.47 × 1,828.47
4. Step 4: Simplify right side
   2,109.15x = 5,329,020.96
5. Step 5: Solve for x
   x = 5,329,020.96/2,109.15
6. Step 6: Final answer
   x = 2,526.62