Finding the Fourth Proportional to 2,665.50, 3,999.69 and 1,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.50 : 3,999.69 = 1,297.50 : x
2. Step 2: Convert to fraction form
   2,665.50/3,999.69 = 1,297.50/x
3. Step 3: Cross multiply
   2,665.50x = 3,999.69 × 1,297.50
4. Step 4: Simplify right side
   2,665.50x = 5,189,597.78
5. Step 5: Solve for x
   x = 5,189,597.78/2,665.50
6. Step 6: Final answer
   x = 1,946.95