Finding the Fourth Proportional to 9,776.50, 14,651.69 and 5,336.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.50 : 14,651.69 = 5,336.18 : x
2. Step 2: Convert to fraction form
   9,776.50/14,651.69 = 5,336.18/x
3. Step 3: Cross multiply
   9,776.50x = 14,651.69 × 5,336.18
4. Step 4: Simplify right side
   9,776.50x = 78,184,010.15
5. Step 5: Solve for x
   x = 78,184,010.15/9,776.50
6. Step 6: Final answer
   x = 7,997.14