Finding the Fourth Proportional to 3,642.56, 5,025.98 and 2,315.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.56 : 5,025.98 = 2,315.78 : x
2. Step 2: Convert to fraction form
   3,642.56/5,025.98 = 2,315.78/x
3. Step 3: Cross multiply
   3,642.56x = 5,025.98 × 2,315.78
4. Step 4: Simplify right side
   3,642.56x = 11,639,063.96
5. Step 5: Solve for x
   x = 11,639,063.96/3,642.56
6. Step 6: Final answer
   x = 3,195.30