Finding the Fourth Proportional to 5,780.20, 7,969.92 and 5,468.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780.20 : 7,969.92 = 5,468.80 : x
2. Step 2: Convert to fraction form
   5,780.20/7,969.92 = 5,468.80/x
3. Step 3: Cross multiply
   5,780.20x = 7,969.92 × 5,468.80
4. Step 4: Simplify right side
   5,780.20x = 43,585,898.50
5. Step 5: Solve for x
   x = 43,585,898.50/5,780.20
6. Step 6: Final answer
   x = 7,540.55