Finding the Fourth Proportional to 6,503.69, 8,975.61 and 3,814.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,503.69 : 8,975.61 = 3,814.09 : x
2. Step 2: Convert to fraction form
   6,503.69/8,975.61 = 3,814.09/x
3. Step 3: Cross multiply
   6,503.69x = 8,975.61 × 3,814.09
4. Step 4: Simplify right side
   6,503.69x = 34,233,761.91
5. Step 5: Solve for x
   x = 34,233,761.91/6,503.69
6. Step 6: Final answer
   x = 5,263.74