Finding the Fourth Proportional to 2,653.81, 3,977.69 and 1,265.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.81 : 3,977.69 = 1,265.18 : x
2. Step 2: Convert to fraction form
   2,653.81/3,977.69 = 1,265.18/x
3. Step 3: Cross multiply
   2,653.81x = 3,977.69 × 1,265.18
4. Step 4: Simplify right side
   2,653.81x = 5,032,493.83
5. Step 5: Solve for x
   x = 5,032,493.83/2,653.81
6. Step 6: Final answer
   x = 1,896.33