Finding the Fourth Proportional to 2,010.34, 3,016.02 and 777.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,010.34 : 3,016.02 = 777.42 : x
2. Step 2: Convert to fraction form
   2,010.34/3,016.02 = 777.42/x
3. Step 3: Cross multiply
   2,010.34x = 3,016.02 × 777.42
4. Step 4: Simplify right side
   2,010.34x = 2,344,714.27
5. Step 5: Solve for x
   x = 2,344,714.27/2,010.34
6. Step 6: Final answer
   x = 1,166.33