Finding the Fourth Proportional to 10,338.80, 14,267.56 and 5,623.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.80 : 14,267.56 = 5,623.06 : x
2. Step 2: Convert to fraction form
   10,338.80/14,267.56 = 5,623.06/x
3. Step 3: Cross multiply
   10,338.80x = 14,267.56 × 5,623.06
4. Step 4: Simplify right side
   10,338.80x = 80,227,345.93
5. Step 5: Solve for x
   x = 80,227,345.93/10,338.80
6. Step 6: Final answer
   x = 7,759.83