Finding the Fourth Proportional to 2,009.40, 3,013.48 and 776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.40 : 3,013.48 = 776.72 : x
2. Step 2: Convert to fraction form
   2,009.40/3,013.48 = 776.72/x
3. Step 3: Cross multiply
   2,009.40x = 3,013.48 × 776.72
4. Step 4: Simplify right side
   2,009.40x = 2,340,630.19
5. Step 5: Solve for x
   x = 2,340,630.19/2,009.40
6. Step 6: Final answer
   x = 1,164.84