Finding the Fourth Proportional to 7,656.58, 11,466.78 and 5,022.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,656.58 : 11,466.78 = 5,022.46 : x
2. Step 2: Convert to fraction form
   7,656.58/11,466.78 = 5,022.46/x
3. Step 3: Cross multiply
   7,656.58x = 11,466.78 × 5,022.46
4. Step 4: Simplify right side
   7,656.58x = 57,591,443.88
5. Step 5: Solve for x
   x = 57,591,443.88/7,656.58
6. Step 6: Final answer
   x = 7,521.82