Finding the Fourth Proportional to 1,665, 2,297.88 and 1,200.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665 : 2,297.88 = 1,200.24 : x
2. Step 2: Convert to fraction form
   1,665/2,297.88 = 1,200.24/x
3. Step 3: Cross multiply
   1,665x = 2,297.88 × 1,200.24
4. Step 4: Simplify right side
   1,665x = 2,758,007.49
5. Step 5: Solve for x
   x = 2,758,007.49/1,665
6. Step 6: Final answer
   x = 1,656.46