Finding the Fourth Proportional to 2,780.67, 3,836.50 and 1,601.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.67 : 3,836.50 = 1,601.71 : x
2. Step 2: Convert to fraction form
   2,780.67/3,836.50 = 1,601.71/x
3. Step 3: Cross multiply
   2,780.67x = 3,836.50 × 1,601.71
4. Step 4: Simplify right side
   2,780.67x = 6,144,960.42
5. Step 5: Solve for x
   x = 6,144,960.42/2,780.67
6. Step 6: Final answer
   x = 2,209.88