Finding the Fourth Proportional to 9,649.34, 14,457.47 and 5,269.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.34 : 14,457.47 = 5,269.86 : x
2. Step 2: Convert to fraction form
   9,649.34/14,457.47 = 5,269.86/x
3. Step 3: Cross multiply
   9,649.34x = 14,457.47 × 5,269.86
4. Step 4: Simplify right side
   9,649.34x = 76,188,842.85
5. Step 5: Solve for x
   x = 76,188,842.85/9,649.34
6. Step 6: Final answer
   x = 7,895.76