Finding the Fourth Proportional to 2,774.31, 4,161.69 and 826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.31 : 4,161.69 = 826.50 : x
2. Step 2: Convert to fraction form
   2,774.31/4,161.69 = 826.50/x
3. Step 3: Cross multiply
   2,774.31x = 4,161.69 × 826.50
4. Step 4: Simplify right side
   2,774.31x = 3,439,636.79
5. Step 5: Solve for x
   x = 3,439,636.79/2,774.31
6. Step 6: Final answer
   x = 1,239.82