Finding the Fourth Proportional to 3,563.90, 5,345.82 and 966.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,563.90 : 5,345.82 = 966.82 : x
2. Step 2: Convert to fraction form
   3,563.90/5,345.82 = 966.82/x
3. Step 3: Cross multiply
   3,563.90x = 5,345.82 × 966.82
4. Step 4: Simplify right side
   3,563.90x = 5,168,445.69
5. Step 5: Solve for x
   x = 5,168,445.69/3,563.90
6. Step 6: Final answer
   x = 1,450.22