Finding the Fourth Proportional to 1,200.50, 1,789.97 and 1,178.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.50 : 1,789.97 = 1,178.62 : x
2. Step 2: Convert to fraction form
   1,200.50/1,789.97 = 1,178.62/x
3. Step 3: Cross multiply
   1,200.50x = 1,789.97 × 1,178.62
4. Step 4: Simplify right side
   1,200.50x = 2,109,694.44
5. Step 5: Solve for x
   x = 2,109,694.44/1,200.50
6. Step 6: Final answer
   x = 1,757.35