Finding the Fourth Proportional to 2,496.29, 3,742.34 and 1,264.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.29 : 3,742.34 = 1,264.55 : x
2. Step 2: Convert to fraction form
   2,496.29/3,742.34 = 1,264.55/x
3. Step 3: Cross multiply
   2,496.29x = 3,742.34 × 1,264.55
4. Step 4: Simplify right side
   2,496.29x = 4,732,351.01
5. Step 5: Solve for x
   x = 4,732,351.01/2,496.29
6. Step 6: Final answer
   x = 1,895.76