Finding the Fourth Proportional to 10,338.29, 14,266.42 and 5,622.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.29 : 14,266.42 = 5,622.57 : x
2. Step 2: Convert to fraction form
   10,338.29/14,266.42 = 5,622.57/x
3. Step 3: Cross multiply
   10,338.29x = 14,266.42 × 5,622.57
4. Step 4: Simplify right side
   10,338.29x = 80,213,945.10
5. Step 5: Solve for x
   x = 80,213,945.10/10,338.29
6. Step 6: Final answer
   x = 7,758.92