Finding the Fourth Proportional to 9,384.40, 12,950.31 and 5,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.40 : 12,950.31 = 5,405.50 : x
2. Step 2: Convert to fraction form
   9,384.40/12,950.31 = 5,405.50/x
3. Step 3: Cross multiply
   9,384.40x = 12,950.31 × 5,405.50
4. Step 4: Simplify right side
   9,384.40x = 70,002,900.71
5. Step 5: Solve for x
   x = 70,002,900.71/9,384.40
6. Step 6: Final answer
   x = 7,459.50