Finding the Fourth Proportional to 2,009.52, 3,013.80 and 776.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.52 : 3,013.80 = 776.48 : x
2. Step 2: Convert to fraction form
   2,009.52/3,013.80 = 776.48/x
3. Step 3: Cross multiply
   2,009.52x = 3,013.80 × 776.48
4. Step 4: Simplify right side
   2,009.52x = 2,340,155.42
5. Step 5: Solve for x
   x = 2,340,155.42/2,009.52
6. Step 6: Final answer
   x = 1,164.53