Finding the Fourth Proportional to 2,769.56, 4,154.38 and 821.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.56 : 4,154.38 = 821.82 : x
2. Step 2: Convert to fraction form
   2,769.56/4,154.38 = 821.82/x
3. Step 3: Cross multiply
   2,769.56x = 4,154.38 × 821.82
4. Step 4: Simplify right side
   2,769.56x = 3,414,152.57
5. Step 5: Solve for x
   x = 3,414,152.57/2,769.56
6. Step 6: Final answer
   x = 1,232.74