Finding the Fourth Proportional to 10,338.81, 14,267.55 and 5,623.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.81 : 14,267.55 = 5,623.08 : x
2. Step 2: Convert to fraction form
   10,338.81/14,267.55 = 5,623.08/x
3. Step 3: Cross multiply
   10,338.81x = 14,267.55 × 5,623.08
4. Step 4: Simplify right side
   10,338.81x = 80,227,575.05
5. Step 5: Solve for x
   x = 80,227,575.05/10,338.81
6. Step 6: Final answer
   x = 7,759.85