Finding the Fourth Proportional to 2,540.34, 3,811.14 and 785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.34 : 3,811.14 = 785.25 : x
2. Step 2: Convert to fraction form
   2,540.34/3,811.14 = 785.25/x
3. Step 3: Cross multiply
   2,540.34x = 3,811.14 × 785.25
4. Step 4: Simplify right side
   2,540.34x = 2,992,697.69
5. Step 5: Solve for x
   x = 2,992,697.69/2,540.34
6. Step 6: Final answer
   x = 1,178.07