Finding the Fourth Proportional to 2,540.77, 3,811.57 and 785.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.77 : 3,811.57 = 785.37 : x
2. Step 2: Convert to fraction form
   2,540.77/3,811.57 = 785.37/x
3. Step 3: Cross multiply
   2,540.77x = 3,811.57 × 785.37
4. Step 4: Simplify right side
   2,540.77x = 2,993,474.01
5. Step 5: Solve for x
   x = 2,993,474.01/2,540.77
6. Step 6: Final answer
   x = 1,178.18