Finding the Fourth Proportional to 10,469.42, 14,447.68 and 5,753.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469.42 : 14,447.68 = 5,753.60 : x
2. Step 2: Convert to fraction form
   10,469.42/14,447.68 = 5,753.60/x
3. Step 3: Cross multiply
   10,469.42x = 14,447.68 × 5,753.60
4. Step 4: Simplify right side
   10,469.42x = 83,126,085.03
5. Step 5: Solve for x
   x = 83,126,085.03/10,469.42
6. Step 6: Final answer
   x = 7,939.90