Finding the Fourth Proportional to 9,542.71, 13,170.83 and 5,564.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,542.71 : 13,170.83 = 5,564.46 : x
2. Step 2: Convert to fraction form
   9,542.71/13,170.83 = 5,564.46/x
3. Step 3: Cross multiply
   9,542.71x = 13,170.83 × 5,564.46
4. Step 4: Simplify right side
   9,542.71x = 73,288,556.70
5. Step 5: Solve for x
   x = 73,288,556.70/9,542.71
6. Step 6: Final answer
   x = 7,680.06