Finding the Fourth Proportional to 2,008.51, 3,013.20 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,008.51 : 3,013.20 = 776.50 : x
2. Step 2: Convert to fraction form
   2,008.51/3,013.20 = 776.50/x
3. Step 3: Cross multiply
   2,008.51x = 3,013.20 × 776.50
4. Step 4: Simplify right side
   2,008.51x = 2,339,742.27
5. Step 5: Solve for x
   x = 2,339,742.27/2,008.51
6. Step 6: Final answer
   x = 1,164.92