Finding the Fourth Proportional to 10,338.10, 14,266.56 and 5,622.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.10 : 14,266.56 = 5,622.35 : x
2. Step 2: Convert to fraction form
   10,338.10/14,266.56 = 5,622.35/x
3. Step 3: Cross multiply
   10,338.10x = 14,266.56 × 5,622.35
4. Step 4: Simplify right side
   10,338.10x = 80,211,543.37
5. Step 5: Solve for x
   x = 80,211,543.37/10,338.10
6. Step 6: Final answer
   x = 7,758.83