Finding the Fourth Proportional to 1,647.65, 2,269.78 and 1,410.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,647.65 : 2,269.78 = 1,410.84 : x
2. Step 2: Convert to fraction form
   1,647.65/2,269.78 = 1,410.84/x
3. Step 3: Cross multiply
   1,647.65x = 2,269.78 × 1,410.84
4. Step 4: Simplify right side
   1,647.65x = 3,202,292.89
5. Step 5: Solve for x
   x = 3,202,292.89/1,647.65
6. Step 6: Final answer
   x = 1,943.55