Finding the Fourth Proportional to 10,454.56, 14,427.50 and 5,738.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.56 : 14,427.50 = 5,738.80 : x
2. Step 2: Convert to fraction form
   10,454.56/14,427.50 = 5,738.80/x
3. Step 3: Cross multiply
   10,454.56x = 14,427.50 × 5,738.80
4. Step 4: Simplify right side
   10,454.56x = 82,796,537
5. Step 5: Solve for x
   x = 82,796,537/10,454.56
6. Step 6: Final answer
   x = 7,919.66