Finding the Fourth Proportional to 1,896.50, 2,618.31 and 1,189.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,896.50 : 2,618.31 = 1,189.40 : x
2. Step 2: Convert to fraction form
   1,896.50/2,618.31 = 1,189.40/x
3. Step 3: Cross multiply
   1,896.50x = 2,618.31 × 1,189.40
4. Step 4: Simplify right side
   1,896.50x = 3,114,217.91
5. Step 5: Solve for x
   x = 3,114,217.91/1,896.50
6. Step 6: Final answer
   x = 1,642.09