Finding the Fourth Proportional to 2,164.35, 3,245.67 and 777.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.35 : 3,245.67 = 777.72 : x
2. Step 2: Convert to fraction form
   2,164.35/3,245.67 = 777.72/x
3. Step 3: Cross multiply
   2,164.35x = 3,245.67 × 777.72
4. Step 4: Simplify right side
   2,164.35x = 2,524,222.47
5. Step 5: Solve for x
   x = 2,524,222.47/2,164.35
6. Step 6: Final answer
   x = 1,166.27