Finding the Fourth Proportional to 3,886.15, 5,829.12 and 964.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,886.15 : 5,829.12 = 964.42 : x
2. Step 2: Convert to fraction form
   3,886.15/5,829.12 = 964.42/x
3. Step 3: Cross multiply
   3,886.15x = 5,829.12 × 964.42
4. Step 4: Simplify right side
   3,886.15x = 5,621,719.91
5. Step 5: Solve for x
   x = 5,621,719.91/3,886.15
6. Step 6: Final answer
   x = 1,446.60