Finding the Fourth Proportional to 2,536.47, 3,801.26 and 1,426.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.47 : 3,801.26 = 1,426.77 : x
2. Step 2: Convert to fraction form
   2,536.47/3,801.26 = 1,426.77/x
3. Step 3: Cross multiply
   2,536.47x = 3,801.26 × 1,426.77
4. Step 4: Simplify right side
   2,536.47x = 5,423,527.30
5. Step 5: Solve for x
   x = 5,423,527.30/2,536.47
6. Step 6: Final answer
   x = 2,138.22