Finding the Fourth Proportional to 6,976.64, 10,422.56 and 6,938.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,976.64 : 10,422.56 = 6,938.24 : x
2. Step 2: Convert to fraction form
   6,976.64/10,422.56 = 6,938.24/x
3. Step 3: Cross multiply
   6,976.64x = 10,422.56 × 6,938.24
4. Step 4: Simplify right side
   6,976.64x = 72,314,222.69
5. Step 5: Solve for x
   x = 72,314,222.69/6,976.64
6. Step 6: Final answer
   x = 10,365.19