Finding the Fourth Proportional to 2,562.82, 3,842.62 and 1,465.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.82 : 3,842.62 = 1,465.67 : x
2. Step 2: Convert to fraction form
   2,562.82/3,842.62 = 1,465.67/x
3. Step 3: Cross multiply
   2,562.82x = 3,842.62 × 1,465.67
4. Step 4: Simplify right side
   2,562.82x = 5,632,018.80
5. Step 5: Solve for x
   x = 5,632,018.80/2,562.82
6. Step 6: Final answer
   x = 2,197.59