Finding the Fourth Proportional to 9,538.43, 14,307.57 and 2,964.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.43 : 14,307.57 = 2,964.60 : x
2. Step 2: Convert to fraction form
   9,538.43/14,307.57 = 2,964.60/x
3. Step 3: Cross multiply
   9,538.43x = 14,307.57 × 2,964.60
4. Step 4: Simplify right side
   9,538.43x = 42,416,222.02
5. Step 5: Solve for x
   x = 42,416,222.02/9,538.43
6. Step 6: Final answer
   x = 4,446.88