Finding the Fourth Proportional to 10,488.54, 14,474.46 and 5,708.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488.54 : 14,474.46 = 5,708.80 : x
2. Step 2: Convert to fraction form
   10,488.54/14,474.46 = 5,708.80/x
3. Step 3: Cross multiply
   10,488.54x = 14,474.46 × 5,708.80
4. Step 4: Simplify right side
   10,488.54x = 82,631,797.25
5. Step 5: Solve for x
   x = 82,631,797.25/10,488.54
6. Step 6: Final answer
   x = 7,878.29