Finding the Fourth Proportional to 9,320.78, 12,865.42 and 5,546.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,320.78 : 12,865.42 = 5,546.62 : x
2. Step 2: Convert to fraction form
   9,320.78/12,865.42 = 5,546.62/x
3. Step 3: Cross multiply
   9,320.78x = 12,865.42 × 5,546.62
4. Step 4: Simplify right side
   9,320.78x = 71,359,595.88
5. Step 5: Solve for x
   x = 71,359,595.88/9,320.78
6. Step 6: Final answer
   x = 7,655.97