Finding the Fourth Proportional to 1,728.10, 2,382.27 and 1,196.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.10 : 2,382.27 = 1,196.18 : x
2. Step 2: Convert to fraction form
   1,728.10/2,382.27 = 1,196.18/x
3. Step 3: Cross multiply
   1,728.10x = 2,382.27 × 1,196.18
4. Step 4: Simplify right side
   1,728.10x = 2,849,607.33
5. Step 5: Solve for x
   x = 2,849,607.33/1,728.10
6. Step 6: Final answer
   x = 1,648.98