Finding the Fourth Proportional to 11,343.50, 15,645.92 and 7,564.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,343.50 : 15,645.92 = 7,564.78 : x
2. Step 2: Convert to fraction form
   11,343.50/15,645.92 = 7,564.78/x
3. Step 3: Cross multiply
   11,343.50x = 15,645.92 × 7,564.78
4. Step 4: Simplify right side
   11,343.50x = 118,357,942.70
5. Step 5: Solve for x
   x = 118,357,942.70/11,343.50
6. Step 6: Final answer
   x = 10,433.99