Finding the Fourth Proportional to 10,143.50, 13,978.07 and 7,756.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,143.50 : 13,978.07 = 7,756.16 : x
2. Step 2: Convert to fraction form
   10,143.50/13,978.07 = 7,756.16/x
3. Step 3: Cross multiply
   10,143.50x = 13,978.07 × 7,756.16
4. Step 4: Simplify right side
   10,143.50x = 108,416,067.83
5. Step 5: Solve for x
   x = 108,416,067.83/10,143.50
6. Step 6: Final answer
   x = 10,688.24