Finding the Fourth Proportional to 2,562.82, 3,842.16 and 2,357.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.82 : 3,842.16 = 2,357.80 : x
2. Step 2: Convert to fraction form
   2,562.82/3,842.16 = 2,357.80/x
3. Step 3: Cross multiply
   2,562.82x = 3,842.16 × 2,357.80
4. Step 4: Simplify right side
   2,562.82x = 9,059,044.85
5. Step 5: Solve for x
   x = 9,059,044.85/2,562.82
6. Step 6: Final answer
   x = 3,534.80