Finding the Fourth Proportional to 10,965.86, 16,442.70 and 4,384.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,965.86 : 16,442.70 = 4,384.60 : x
2. Step 2: Convert to fraction form
   10,965.86/16,442.70 = 4,384.60/x
3. Step 3: Cross multiply
   10,965.86x = 16,442.70 × 4,384.60
4. Step 4: Simplify right side
   10,965.86x = 72,094,662.42
5. Step 5: Solve for x
   x = 72,094,662.42/10,965.86
6. Step 6: Final answer
   x = 6,574.46