Finding the Fourth Proportional to 2,562.96, 3,845.67 and 1,264.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.96 : 3,845.67 = 1,264.14 : x
2. Step 2: Convert to fraction form
   2,562.96/3,845.67 = 1,264.14/x
3. Step 3: Cross multiply
   2,562.96x = 3,845.67 × 1,264.14
4. Step 4: Simplify right side
   2,562.96x = 4,861,465.27
5. Step 5: Solve for x
   x = 4,861,465.27/2,562.96
6. Step 6: Final answer
   x = 1,896.82