Finding the Fourth Proportional to 1,409.64, 1,942.82 and 1,189.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.64 : 1,942.82 = 1,189.16 : x
2. Step 2: Convert to fraction form
   1,409.64/1,942.82 = 1,189.16/x
3. Step 3: Cross multiply
   1,409.64x = 1,942.82 × 1,189.16
4. Step 4: Simplify right side
   1,409.64x = 2,310,323.83
5. Step 5: Solve for x
   x = 2,310,323.83/1,409.64
6. Step 6: Final answer
   x = 1,638.95