Finding the Fourth Proportional to 10,338.68, 14,267.34 and 5,623.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.68 : 14,267.34 = 5,623.16 : x
2. Step 2: Convert to fraction form
   10,338.68/14,267.34 = 5,623.16/x
3. Step 3: Cross multiply
   10,338.68x = 14,267.34 × 5,623.16
4. Step 4: Simplify right side
   10,338.68x = 80,227,535.59
5. Step 5: Solve for x
   x = 80,227,535.59/10,338.68
6. Step 6: Final answer
   x = 7,759.94