Finding the Fourth Proportional to 2,564.76, 3,848.52 and 1,266.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.76 : 3,848.52 = 1,266.24 : x
2. Step 2: Convert to fraction form
   2,564.76/3,848.52 = 1,266.24/x
3. Step 3: Cross multiply
   2,564.76x = 3,848.52 × 1,266.24
4. Step 4: Simplify right side
   2,564.76x = 4,873,149.96
5. Step 5: Solve for x
   x = 4,873,149.96/2,564.76
6. Step 6: Final answer
   x = 1,900.04