Finding the Fourth Proportional to 9,814.56, 13,545.32 and 5,622.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.56 : 13,545.32 = 5,622.82 : x
2. Step 2: Convert to fraction form
   9,814.56/13,545.32 = 5,622.82/x
3. Step 3: Cross multiply
   9,814.56x = 13,545.32 × 5,622.82
4. Step 4: Simplify right side
   9,814.56x = 76,162,896.20
5. Step 5: Solve for x
   x = 76,162,896.20/9,814.56
6. Step 6: Final answer
   x = 7,760.19