Finding the Fourth Proportional to 2,546.88, 3,820.56 and 815.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.88 : 3,820.56 = 815.76 : x
2. Step 2: Convert to fraction form
   2,546.88/3,820.56 = 815.76/x
3. Step 3: Cross multiply
   2,546.88x = 3,820.56 × 815.76
4. Step 4: Simplify right side
   2,546.88x = 3,116,660.03
5. Step 5: Solve for x
   x = 3,116,660.03/2,546.88
6. Step 6: Final answer
   x = 1,223.72