Finding the Fourth Proportional to 2,522.80, 3,785.86 and 964.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.80 : 3,785.86 = 964.10 : x
2. Step 2: Convert to fraction form
   2,522.80/3,785.86 = 964.10/x
3. Step 3: Cross multiply
   2,522.80x = 3,785.86 × 964.10
4. Step 4: Simplify right side
   2,522.80x = 3,649,961.01
5. Step 5: Solve for x
   x = 3,649,961.01/2,522.80
6. Step 6: Final answer
   x = 1,446.79