Finding the Fourth Proportional to 2,258.34, 3,387.59 and 777.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.34 : 3,387.59 = 777.53 : x
2. Step 2: Convert to fraction form
   2,258.34/3,387.59 = 777.53/x
3. Step 3: Cross multiply
   2,258.34x = 3,387.59 × 777.53
4. Step 4: Simplify right side
   2,258.34x = 2,633,932.03
5. Step 5: Solve for x
   x = 2,633,932.03/2,258.34
6. Step 6: Final answer
   x = 1,166.31