Finding the Fourth Proportional to 2,009.07, 3,013.98 and 776.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.07 : 3,013.98 = 776.37 : x
2. Step 2: Convert to fraction form
   2,009.07/3,013.98 = 776.37/x
3. Step 3: Cross multiply
   2,009.07x = 3,013.98 × 776.37
4. Step 4: Simplify right side
   2,009.07x = 2,339,963.65
5. Step 5: Solve for x
   x = 2,339,963.65/2,009.07
6. Step 6: Final answer
   x = 1,164.70