Finding the Fourth Proportional to 2,010.35, 3,016.10 and 778.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,010.35 : 3,016.10 = 778.12 : x
2. Step 2: Convert to fraction form
   2,010.35/3,016.10 = 778.12/x
3. Step 3: Cross multiply
   2,010.35x = 3,016.10 × 778.12
4. Step 4: Simplify right side
   2,010.35x = 2,346,899.10
5. Step 5: Solve for x
   x = 2,346,899.10/2,010.35
6. Step 6: Final answer
   x = 1,167.41