Finding the Fourth Proportional to 10,454.42, 14,427.16 and 5,738.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.42 : 14,427.16 = 5,738.70 : x
2. Step 2: Convert to fraction form
   10,454.42/14,427.16 = 5,738.70/x
3. Step 3: Cross multiply
   10,454.42x = 14,427.16 × 5,738.70
4. Step 4: Simplify right side
   10,454.42x = 82,793,143.09
5. Step 5: Solve for x
   x = 82,793,143.09/10,454.42
6. Step 6: Final answer
   x = 7,919.44