Finding the Fourth Proportional to 10,874, 15,006.12 and 5,906

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874 : 15,006.12 = 5,906 : x
2. Step 2: Convert to fraction form
   10,874/15,006.12 = 5,906/x
3. Step 3: Cross multiply
   10,874x = 15,006.12 × 5,906
4. Step 4: Simplify right side
   10,874x = 88,626,144.72
5. Step 5: Solve for x
   x = 88,626,144.72/10,874
6. Step 6: Final answer
   x = 8,150.28