Finding the Fourth Proportional to 2,553.34, 3,827.58 and 820.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.34 : 3,827.58 = 820.76 : x
2. Step 2: Convert to fraction form
   2,553.34/3,827.58 = 820.76/x
3. Step 3: Cross multiply
   2,553.34x = 3,827.58 × 820.76
4. Step 4: Simplify right side
   2,553.34x = 3,141,524.56
5. Step 5: Solve for x
   x = 3,141,524.56/2,553.34
6. Step 6: Final answer
   x = 1,230.36