Finding the Fourth Proportional to 2,774.72, 4,162.04 and 828.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.72 : 4,162.04 = 828.24 : x
2. Step 2: Convert to fraction form
   2,774.72/4,162.04 = 828.24/x
3. Step 3: Cross multiply
   2,774.72x = 4,162.04 × 828.24
4. Step 4: Simplify right side
   2,774.72x = 3,447,168.01
5. Step 5: Solve for x
   x = 3,447,168.01/2,774.72
6. Step 6: Final answer
   x = 1,242.35