Finding the Fourth Proportional to 2,566.68, 3,847.32 and 1,265.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.68 : 3,847.32 = 1,265.46 : x
2. Step 2: Convert to fraction form
   2,566.68/3,847.32 = 1,265.46/x
3. Step 3: Cross multiply
   2,566.68x = 3,847.32 × 1,265.46
4. Step 4: Simplify right side
   2,566.68x = 4,868,629.57
5. Step 5: Solve for x
   x = 4,868,629.57/2,566.68
6. Step 6: Final answer
   x = 1,896.86