Finding the Fourth Proportional to 6,997.71, 10,464.15 and 5,419.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,997.71 : 10,464.15 = 5,419.83 : x
2. Step 2: Convert to fraction form
   6,997.71/10,464.15 = 5,419.83/x
3. Step 3: Cross multiply
   6,997.71x = 10,464.15 × 5,419.83
4. Step 4: Simplify right side
   6,997.71x = 56,713,914.09
5. Step 5: Solve for x
   x = 56,713,914.09/6,997.71
6. Step 6: Final answer
   x = 8,104.64