Finding the Fourth Proportional to 10,022.17, 13,830.21 and 5,545.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.17 : 13,830.21 = 5,545.84 : x
2. Step 2: Convert to fraction form
   10,022.17/13,830.21 = 5,545.84/x
3. Step 3: Cross multiply
   10,022.17x = 13,830.21 × 5,545.84
4. Step 4: Simplify right side
   10,022.17x = 76,700,131.83
5. Step 5: Solve for x
   x = 76,700,131.83/10,022.17
6. Step 6: Final answer
   x = 7,653.05