Finding the Fourth Proportional to 10,256.75, 15,378.27 and 5,262.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.75 : 15,378.27 = 5,262.18 : x
2. Step 2: Convert to fraction form
   10,256.75/15,378.27 = 5,262.18/x
3. Step 3: Cross multiply
   10,256.75x = 15,378.27 × 5,262.18
4. Step 4: Simplify right side
   10,256.75x = 80,923,224.83
5. Step 5: Solve for x
   x = 80,923,224.83/10,256.75
6. Step 6: Final answer
   x = 7,889.76