Finding the Fourth Proportional to 2,425.81, 3,638.75 and 782.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,425.81 : 3,638.75 = 782.37 : x
2. Step 2: Convert to fraction form
   2,425.81/3,638.75 = 782.37/x
3. Step 3: Cross multiply
   2,425.81x = 3,638.75 × 782.37
4. Step 4: Simplify right side
   2,425.81x = 2,846,826.73
5. Step 5: Solve for x
   x = 2,846,826.73/2,425.81
6. Step 6: Final answer
   x = 1,173.56