Finding the Fourth Proportional to 1,002.42, 1,501.40 and 828.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.42 : 1,501.40 = 828.68 : x
2. Step 2: Convert to fraction form
   1,002.42/1,501.40 = 828.68/x
3. Step 3: Cross multiply
   1,002.42x = 1,501.40 × 828.68
4. Step 4: Simplify right side
   1,002.42x = 1,244,174.72
5. Step 5: Solve for x
   x = 1,244,174.72/1,002.42
6. Step 6: Final answer
   x = 1,241.17