Finding the Fourth Proportional to 2,257.51, 3,386.33 and 776.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,257.51 : 3,386.33 = 776.71 : x
2. Step 2: Convert to fraction form
   2,257.51/3,386.33 = 776.71/x
3. Step 3: Cross multiply
   2,257.51x = 3,386.33 × 776.71
4. Step 4: Simplify right side
   2,257.51x = 2,630,196.37
5. Step 5: Solve for x
   x = 2,630,196.37/2,257.51
6. Step 6: Final answer
   x = 1,165.09