Finding the Fourth Proportional to 2,769.48, 4,154.82 and 821.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.48 : 4,154.82 = 821.82 : x
2. Step 2: Convert to fraction form
   2,769.48/4,154.82 = 821.82/x
3. Step 3: Cross multiply
   2,769.48x = 4,154.82 × 821.82
4. Step 4: Simplify right side
   2,769.48x = 3,414,514.17
5. Step 5: Solve for x
   x = 3,414,514.17/2,769.48
6. Step 6: Final answer
   x = 1,232.91