Finding the Fourth Proportional to 1,824.84, 2,738.16 and 1,456.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.84 : 2,738.16 = 1,456.65 : x
2. Step 2: Convert to fraction form
   1,824.84/2,738.16 = 1,456.65/x
3. Step 3: Cross multiply
   1,824.84x = 2,738.16 × 1,456.65
4. Step 4: Simplify right side
   1,824.84x = 3,988,540.76
5. Step 5: Solve for x
   x = 3,988,540.76/1,824.84
6. Step 6: Final answer
   x = 2,185.69