Finding the Fourth Proportional to 2,426.25, 3,638.25 and 1,256.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426.25 : 3,638.25 = 1,256.91 : x
2. Step 2: Convert to fraction form
   2,426.25/3,638.25 = 1,256.91/x
3. Step 3: Cross multiply
   2,426.25x = 3,638.25 × 1,256.91
4. Step 4: Simplify right side
   2,426.25x = 4,572,952.81
5. Step 5: Solve for x
   x = 4,572,952.81/2,426.25
6. Step 6: Final answer
   x = 1,884.78