Finding the Fourth Proportional to 6,978.50, 10,457.51 and 5,215.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.50 : 10,457.51 = 5,215.24 : x
2. Step 2: Convert to fraction form
   6,978.50/10,457.51 = 5,215.24/x
3. Step 3: Cross multiply
   6,978.50x = 10,457.51 × 5,215.24
4. Step 4: Simplify right side
   6,978.50x = 54,538,352.62
5. Step 5: Solve for x
   x = 54,538,352.62/6,978.50
6. Step 6: Final answer
   x = 7,815.19