Finding the Fourth Proportional to 2,009.52, 3,013.98 and 776.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.52 : 3,013.98 = 776.76 : x
2. Step 2: Convert to fraction form
   2,009.52/3,013.98 = 776.76/x
3. Step 3: Cross multiply
   2,009.52x = 3,013.98 × 776.76
4. Step 4: Simplify right side
   2,009.52x = 2,341,139.10
5. Step 5: Solve for x
   x = 2,341,139.10/2,009.52
6. Step 6: Final answer
   x = 1,165.02