Finding the Fourth Proportional to 10,442.34, 14,409 and 5,965.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.34 : 14,409 = 5,965.80 : x
2. Step 2: Convert to fraction form
   10,442.34/14,409 = 5,965.80/x
3. Step 3: Cross multiply
   10,442.34x = 14,409 × 5,965.80
4. Step 4: Simplify right side
   10,442.34x = 85,961,212.20
5. Step 5: Solve for x
   x = 85,961,212.20/10,442.34
6. Step 6: Final answer
   x = 8,231.99