Finding the Fourth Proportional to 12,964.50, 17,891.10 and 7,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.50 : 17,891.10 = 7,375.50 : x
2. Step 2: Convert to fraction form
   12,964.50/17,891.10 = 7,375.50/x
3. Step 3: Cross multiply
   12,964.50x = 17,891.10 × 7,375.50
4. Step 4: Simplify right side
   12,964.50x = 131,955,808.05
5. Step 5: Solve for x
   x = 131,955,808.05/12,964.50
6. Step 6: Final answer
   x = 10,178.24