Finding the Fourth Proportional to 6,503.82, 8,975.32 and 3,814.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,503.82 : 8,975.32 = 3,814.49 : x
2. Step 2: Convert to fraction form
   6,503.82/8,975.32 = 3,814.49/x
3. Step 3: Cross multiply
   6,503.82x = 8,975.32 × 3,814.49
4. Step 4: Simplify right side
   6,503.82x = 34,236,249.31
5. Step 5: Solve for x
   x = 34,236,249.31/6,503.82
6. Step 6: Final answer
   x = 5,264.02