Finding the Fourth Proportional to 1,928.50, 2,662.61 and 1,193.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,928.50 : 2,662.61 = 1,193.78 : x
2. Step 2: Convert to fraction form
   1,928.50/2,662.61 = 1,193.78/x
3. Step 3: Cross multiply
   1,928.50x = 2,662.61 × 1,193.78
4. Step 4: Simplify right side
   1,928.50x = 3,178,570.57
5. Step 5: Solve for x
   x = 3,178,570.57/1,928.50
6. Step 6: Final answer
   x = 1,648.21