Finding the Fourth Proportional to 9,786.60, 14,624.16 and 9,565.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.60 : 14,624.16 = 9,565.05 : x
2. Step 2: Convert to fraction form
   9,786.60/14,624.16 = 9,565.05/x
3. Step 3: Cross multiply
   9,786.60x = 14,624.16 × 9,565.05
4. Step 4: Simplify right side
   9,786.60x = 139,880,821.61
5. Step 5: Solve for x
   x = 139,880,821.61/9,786.60
6. Step 6: Final answer
   x = 14,293.10