Finding the Fourth Proportional to 7,782.98, 10,742.82 and 5,425.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782.98 : 10,742.82 = 5,425.88 : x
2. Step 2: Convert to fraction form
   7,782.98/10,742.82 = 5,425.88/x
3. Step 3: Cross multiply
   7,782.98x = 10,742.82 × 5,425.88
4. Step 4: Simplify right side
   7,782.98x = 58,289,258.69
5. Step 5: Solve for x
   x = 58,289,258.69/7,782.98
6. Step 6: Final answer
   x = 7,489.32