Finding the Fourth Proportional to 9,556.84, 13,186.02 and 5,575.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,556.84 : 13,186.02 = 5,575.42 : x
2. Step 2: Convert to fraction form
   9,556.84/13,186.02 = 5,575.42/x
3. Step 3: Cross multiply
   9,556.84x = 13,186.02 × 5,575.42
4. Step 4: Simplify right side
   9,556.84x = 73,517,599.63
5. Step 5: Solve for x
   x = 73,517,599.63/9,556.84
6. Step 6: Final answer
   x = 7,692.67