Finding the Fourth Proportional to 10,099.82, 13,938 and 5,623.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.82 : 13,938 = 5,623.31 : x
2. Step 2: Convert to fraction form
   10,099.82/13,938 = 5,623.31/x
3. Step 3: Cross multiply
   10,099.82x = 13,938 × 5,623.31
4. Step 4: Simplify right side
   10,099.82x = 78,377,694.78
5. Step 5: Solve for x
   x = 78,377,694.78/10,099.82
6. Step 6: Final answer
   x = 7,760.31