Finding the Fourth Proportional to 10,441.48, 14,409.30 and 5,661.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,441.48 : 14,409.30 = 5,661.46 : x
2. Step 2: Convert to fraction form
   10,441.48/14,409.30 = 5,661.46/x
3. Step 3: Cross multiply
   10,441.48x = 14,409.30 × 5,661.46
4. Step 4: Simplify right side
   10,441.48x = 81,577,675.58
5. Step 5: Solve for x
   x = 81,577,675.58/10,441.48
6. Step 6: Final answer
   x = 7,812.85