Finding the Fourth Proportional to 1,744.86, 2,616.50 and 820.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744.86 : 2,616.50 = 820.70 : x
2. Step 2: Convert to fraction form
   1,744.86/2,616.50 = 820.70/x
3. Step 3: Cross multiply
   1,744.86x = 2,616.50 × 820.70
4. Step 4: Simplify right side
   1,744.86x = 2,147,361.55
5. Step 5: Solve for x
   x = 2,147,361.55/1,744.86
6. Step 6: Final answer
   x = 1,230.68