Finding the Fourth Proportional to 2,010.98, 3,015.33 and 778.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,010.98 : 3,015.33 = 778.06 : x
2. Step 2: Convert to fraction form
   2,010.98/3,015.33 = 778.06/x
3. Step 3: Cross multiply
   2,010.98x = 3,015.33 × 778.06
4. Step 4: Simplify right side
   2,010.98x = 2,346,091.55
5. Step 5: Solve for x
   x = 2,346,091.55/2,010.98
6. Step 6: Final answer
   x = 1,166.64