Finding the Fourth Proportional to 2,357.59, 3,536.81 and 776.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.59 : 3,536.81 = 776.40 : x
2. Step 2: Convert to fraction form
   2,357.59/3,536.81 = 776.40/x
3. Step 3: Cross multiply
   2,357.59x = 3,536.81 × 776.40
4. Step 4: Simplify right side
   2,357.59x = 2,745,974.39
5. Step 5: Solve for x
   x = 2,745,974.39/2,357.59
6. Step 6: Final answer
   x = 1,164.74