Finding the Fourth Proportional to 10,458.95, 14,433.38 and 5,743.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.95 : 14,433.38 = 5,743.54 : x
2. Step 2: Convert to fraction form
   10,458.95/14,433.38 = 5,743.54/x
3. Step 3: Cross multiply
   10,458.95x = 14,433.38 × 5,743.54
4. Step 4: Simplify right side
   10,458.95x = 82,898,695.37
5. Step 5: Solve for x
   x = 82,898,695.37/10,458.95
6. Step 6: Final answer
   x = 7,926.10