Finding the Fourth Proportional to 6,823.69, 10,216.53 and 3,484.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.69 : 10,216.53 = 3,484.76 : x
2. Step 2: Convert to fraction form
   6,823.69/10,216.53 = 3,484.76/x
3. Step 3: Cross multiply
   6,823.69x = 10,216.53 × 3,484.76
4. Step 4: Simplify right side
   6,823.69x = 35,602,104.00
5. Step 5: Solve for x
   x = 35,602,104.00/6,823.69
6. Step 6: Final answer
   x = 5,217.43