Finding the Fourth Proportional to 10,390.49, 14,339.12 and 5,674.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.49 : 14,339.12 = 5,674.80 : x
2. Step 2: Convert to fraction form
   10,390.49/14,339.12 = 5,674.80/x
3. Step 3: Cross multiply
   10,390.49x = 14,339.12 × 5,674.80
4. Step 4: Simplify right side
   10,390.49x = 81,371,609.80
5. Step 5: Solve for x
   x = 81,371,609.80/10,390.49
6. Step 6: Final answer
   x = 7,831.36