Finding the Fourth Proportional to 2,002.74, 2,764.46 and 1,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.74 : 2,764.46 = 1,206.50 : x
2. Step 2: Convert to fraction form
   2,002.74/2,764.46 = 1,206.50/x
3. Step 3: Cross multiply
   2,002.74x = 2,764.46 × 1,206.50
4. Step 4: Simplify right side
   2,002.74x = 3,335,320.99
5. Step 5: Solve for x
   x = 3,335,320.99/2,002.74
6. Step 6: Final answer
   x = 1,665.38