Finding the Fourth Proportional to 10,108.38, 13,949.56 and 5,916.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,108.38 : 13,949.56 = 5,916.63 : x
2. Step 2: Convert to fraction form
   10,108.38/13,949.56 = 5,916.63/x
3. Step 3: Cross multiply
   10,108.38x = 13,949.56 × 5,916.63
4. Step 4: Simplify right side
   10,108.38x = 82,534,300.64
5. Step 5: Solve for x
   x = 82,534,300.64/10,108.38
6. Step 6: Final answer
   x = 8,164.94