Finding the Fourth Proportional to 2,353.82, 3,527.96 and 966.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.82 : 3,527.96 = 966.47 : x
2. Step 2: Convert to fraction form
   2,353.82/3,527.96 = 966.47/x
3. Step 3: Cross multiply
   2,353.82x = 3,527.96 × 966.47
4. Step 4: Simplify right side
   2,353.82x = 3,409,645.03
5. Step 5: Solve for x
   x = 3,409,645.03/2,353.82
6. Step 6: Final answer
   x = 1,448.56