Finding the Fourth Proportional to 2,009.61, 3,013.61 and 776.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.61 : 3,013.61 = 776.79 : x
2. Step 2: Convert to fraction form
   2,009.61/3,013.61 = 776.79/x
3. Step 3: Cross multiply
   2,009.61x = 3,013.61 × 776.79
4. Step 4: Simplify right side
   2,009.61x = 2,340,938.23
5. Step 5: Solve for x
   x = 2,340,938.23/2,009.61
6. Step 6: Final answer
   x = 1,164.87