Finding the Fourth Proportional to 2,164.88, 3,245.38 and 777.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.88 : 3,245.38 = 777.89 : x
2. Step 2: Convert to fraction form
   2,164.88/3,245.38 = 777.89/x
3. Step 3: Cross multiply
   2,164.88x = 3,245.38 × 777.89
4. Step 4: Simplify right side
   2,164.88x = 2,524,554.82
5. Step 5: Solve for x
   x = 2,524,554.82/2,164.88
6. Step 6: Final answer
   x = 1,166.14