Finding the Fourth Proportional to 10,022.07, 13,829.31 and 5,545.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.07 : 13,829.31 = 5,545.20 : x
2. Step 2: Convert to fraction form
   10,022.07/13,829.31 = 5,545.20/x
3. Step 3: Cross multiply
   10,022.07x = 13,829.31 × 5,545.20
4. Step 4: Simplify right side
   10,022.07x = 76,686,289.81
5. Step 5: Solve for x
   x = 76,686,289.81/10,022.07
6. Step 6: Final answer
   x = 7,651.74