Finding the Fourth Proportional to 1,609.98, 2,409.57 and 1,185.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.98 : 2,409.57 = 1,185.48 : x
2. Step 2: Convert to fraction form
   1,609.98/2,409.57 = 1,185.48/x
3. Step 3: Cross multiply
   1,609.98x = 2,409.57 × 1,185.48
4. Step 4: Simplify right side
   1,609.98x = 2,856,497.04
5. Step 5: Solve for x
   x = 2,856,497.04/1,609.98
6. Step 6: Final answer
   x = 1,774.24