Finding the Fourth Proportional to 2,775.45, 4,162.89 and 827.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,775.45 : 4,162.89 = 827.67 : x
2. Step 2: Convert to fraction form
   2,775.45/4,162.89 = 827.67/x
3. Step 3: Cross multiply
   2,775.45x = 4,162.89 × 827.67
4. Step 4: Simplify right side
   2,775.45x = 3,445,499.17
5. Step 5: Solve for x
   x = 3,445,499.17/2,775.45
6. Step 6: Final answer
   x = 1,241.42