Finding the Fourth Proportional to 10,005.14, 15,017.12 and 5,078.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.14 : 15,017.12 = 5,078.31 : x
2. Step 2: Convert to fraction form
   10,005.14/15,017.12 = 5,078.31/x
3. Step 3: Cross multiply
   10,005.14x = 15,017.12 × 5,078.31
4. Step 4: Simplify right side
   10,005.14x = 76,261,590.67
5. Step 5: Solve for x
   x = 76,261,590.67/10,005.14
6. Step 6: Final answer
   x = 7,622.24