Finding the Fourth Proportional to 9,538.32, 14,307.77 and 2,964.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.32 : 14,307.77 = 2,964.54 : x
2. Step 2: Convert to fraction form
   9,538.32/14,307.77 = 2,964.54/x
3. Step 3: Cross multiply
   9,538.32x = 14,307.77 × 2,964.54
4. Step 4: Simplify right side
   9,538.32x = 42,415,956.48
5. Step 5: Solve for x
   x = 42,415,956.48/9,538.32
6. Step 6: Final answer
   x = 4,446.90