Finding the Fourth Proportional to 2,780.50, 3,837.15 and 1,601.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.50 : 3,837.15 = 1,601.38 : x
2. Step 2: Convert to fraction form
   2,780.50/3,837.15 = 1,601.38/x
3. Step 3: Cross multiply
   2,780.50x = 3,837.15 × 1,601.38
4. Step 4: Simplify right side
   2,780.50x = 6,144,735.27
5. Step 5: Solve for x
   x = 6,144,735.27/2,780.50
6. Step 6: Final answer
   x = 2,209.94