Finding the Fourth Proportional to 10,456.63, 14,431.04 and 5,741.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.63 : 14,431.04 = 5,741.76 : x
2. Step 2: Convert to fraction form
   10,456.63/14,431.04 = 5,741.76/x
3. Step 3: Cross multiply
   10,456.63x = 14,431.04 × 5,741.76
4. Step 4: Simplify right side
   10,456.63x = 82,859,568.23
5. Step 5: Solve for x
   x = 82,859,568.23/10,456.63
6. Step 6: Final answer
   x = 7,924.12