Finding the Fourth Proportional to 2,556.86, 3,835.38 and 707.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.86 : 3,835.38 = 707.82 : x
2. Step 2: Convert to fraction form
   2,556.86/3,835.38 = 707.82/x
3. Step 3: Cross multiply
   2,556.86x = 3,835.38 × 707.82
4. Step 4: Simplify right side
   2,556.86x = 2,714,766.49
5. Step 5: Solve for x
   x = 2,714,766.49/2,556.86
6. Step 6: Final answer
   x = 1,061.76