Finding the Fourth Proportional to 10,185.12, 15,291.87 and 5,258.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.12 : 15,291.87 = 5,258.31 : x
2. Step 2: Convert to fraction form
   10,185.12/15,291.87 = 5,258.31/x
3. Step 3: Cross multiply
   10,185.12x = 15,291.87 × 5,258.31
4. Step 4: Simplify right side
   10,185.12x = 80,409,392.94
5. Step 5: Solve for x
   x = 80,409,392.94/10,185.12
6. Step 6: Final answer
   x = 7,894.79