Finding the Fourth Proportional to 9,355.94, 14,011.50 and 5,186.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,355.94 : 14,011.50 = 5,186.06 : x
2. Step 2: Convert to fraction form
   9,355.94/14,011.50 = 5,186.06/x
3. Step 3: Cross multiply
   9,355.94x = 14,011.50 × 5,186.06
4. Step 4: Simplify right side
   9,355.94x = 72,664,479.69
5. Step 5: Solve for x
   x = 72,664,479.69/9,355.94
6. Step 6: Final answer
   x = 7,766.67