Finding the Fourth Proportional to 2,506.58, 3,758.78 and 966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.58 : 3,758.78 = 966.50 : x
2. Step 2: Convert to fraction form
   2,506.58/3,758.78 = 966.50/x
3. Step 3: Cross multiply
   2,506.58x = 3,758.78 × 966.50
4. Step 4: Simplify right side
   2,506.58x = 3,632,860.87
5. Step 5: Solve for x
   x = 3,632,860.87/2,506.58
6. Step 6: Final answer
   x = 1,449.33