Finding the Fourth Proportional to 2,611.10, 3,914.60 and 966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.10 : 3,914.60 = 966.75 : x
2. Step 2: Convert to fraction form
   2,611.10/3,914.60 = 966.75/x
3. Step 3: Cross multiply
   2,611.10x = 3,914.60 × 966.75
4. Step 4: Simplify right side
   2,611.10x = 3,784,434.72
5. Step 5: Solve for x
   x = 3,784,434.72/2,611.10
6. Step 6: Final answer
   x = 1,449.37