Finding the Fourth Proportional to 2,546.52, 3,820.04 and 815.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.52 : 3,820.04 = 815.20 : x
2. Step 2: Convert to fraction form
   2,546.52/3,820.04 = 815.20/x
3. Step 3: Cross multiply
   2,546.52x = 3,820.04 × 815.20
4. Step 4: Simplify right side
   2,546.52x = 3,114,096.61
5. Step 5: Solve for x
   x = 3,114,096.61/2,546.52
6. Step 6: Final answer
   x = 1,222.88