Finding the Fourth Proportional to 10,441.46, 14,409.42 and 5,726

Step by Step Solution

1. Step 1: Write the proportion equation
   10,441.46 : 14,409.42 = 5,726 : x
2. Step 2: Convert to fraction form
   10,441.46/14,409.42 = 5,726/x
3. Step 3: Cross multiply
   10,441.46x = 14,409.42 × 5,726
4. Step 4: Simplify right side
   10,441.46x = 82,508,338.92
5. Step 5: Solve for x
   x = 82,508,338.92/10,441.46
6. Step 6: Final answer
   x = 7,901.99