Finding the Fourth Proportional to 10,458.57, 14,433.12 and 5,743.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.57 : 14,433.12 = 5,743.16 : x
2. Step 2: Convert to fraction form
   10,458.57/14,433.12 = 5,743.16/x
3. Step 3: Cross multiply
   10,458.57x = 14,433.12 × 5,743.16
4. Step 4: Simplify right side
   10,458.57x = 82,891,645.29
5. Step 5: Solve for x
   x = 82,891,645.29/10,458.57
6. Step 6: Final answer
   x = 7,925.72