Finding the Fourth Proportional to 1,180.20, 1,627.41 and 737.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.20 : 1,627.41 = 737.98 : x
2. Step 2: Convert to fraction form
   1,180.20/1,627.41 = 737.98/x
3. Step 3: Cross multiply
   1,180.20x = 1,627.41 × 737.98
4. Step 4: Simplify right side
   1,180.20x = 1,200,996.03
5. Step 5: Solve for x
   x = 1,200,996.03/1,180.20
6. Step 6: Final answer
   x = 1,017.62