Finding the Fourth Proportional to 2,561.56, 3,842.88 and 1,262.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.56 : 3,842.88 = 1,262.86 : x
2. Step 2: Convert to fraction form
   2,561.56/3,842.88 = 1,262.86/x
3. Step 3: Cross multiply
   2,561.56x = 3,842.88 × 1,262.86
4. Step 4: Simplify right side
   2,561.56x = 4,853,019.44
5. Step 5: Solve for x
   x = 4,853,019.44/2,561.56
6. Step 6: Final answer
   x = 1,894.56