Finding the Fourth Proportional to 6,494.10, 9,733.15 and 4,414.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,494.10 : 9,733.15 = 4,414.10 : x
2. Step 2: Convert to fraction form
   6,494.10/9,733.15 = 4,414.10/x
3. Step 3: Cross multiply
   6,494.10x = 9,733.15 × 4,414.10
4. Step 4: Simplify right side
   6,494.10x = 42,963,097.42
5. Step 5: Solve for x
   x = 42,963,097.42/6,494.10
6. Step 6: Final answer
   x = 6,615.71