Finding the Fourth Proportional to 2,423.64, 3,636.69 and 964.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,423.64 : 3,636.69 = 964.02 : x
2. Step 2: Convert to fraction form
   2,423.64/3,636.69 = 964.02/x
3. Step 3: Cross multiply
   2,423.64x = 3,636.69 × 964.02
4. Step 4: Simplify right side
   2,423.64x = 3,505,841.89
5. Step 5: Solve for x
   x = 3,505,841.89/2,423.64
6. Step 6: Final answer
   x = 1,446.52