Finding the Fourth Proportional to 9,815.50, 13,545.39 and 5,623.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.50 : 13,545.39 = 5,623.78 : x
2. Step 2: Convert to fraction form
   9,815.50/13,545.39 = 5,623.78/x
3. Step 3: Cross multiply
   9,815.50x = 13,545.39 × 5,623.78
4. Step 4: Simplify right side
   9,815.50x = 76,176,293.37
5. Step 5: Solve for x
   x = 76,176,293.37/9,815.50
6. Step 6: Final answer
   x = 7,760.82