Finding the Fourth Proportional to 9,564.76, 13,198.80 and 5,372.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.76 : 13,198.80 = 5,372.92 : x
2. Step 2: Convert to fraction form
   9,564.76/13,198.80 = 5,372.92/x
3. Step 3: Cross multiply
   9,564.76x = 13,198.80 × 5,372.92
4. Step 4: Simplify right side
   9,564.76x = 70,916,096.50
5. Step 5: Solve for x
   x = 70,916,096.50/9,564.76
6. Step 6: Final answer
   x = 7,414.31