Finding the Fourth Proportional to 2,781, 3,836.72 and 1,837.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781 : 3,836.72 = 1,837.24 : x
2. Step 2: Convert to fraction form
   2,781/3,836.72 = 1,837.24/x
3. Step 3: Cross multiply
   2,781x = 3,836.72 × 1,837.24
4. Step 4: Simplify right side
   2,781x = 7,048,970.45
5. Step 5: Solve for x
   x = 7,048,970.45/2,781
6. Step 6: Final answer
   x = 2,534.69