Finding the Fourth Proportional to 6,146.82, 9,205.10 and 3,507.81

Step by Step Solution

1. Step 1: Write the proportion equation
   6,146.82 : 9,205.10 = 3,507.81 : x
2. Step 2: Convert to fraction form
   6,146.82/9,205.10 = 3,507.81/x
3. Step 3: Cross multiply
   6,146.82x = 9,205.10 × 3,507.81
4. Step 4: Simplify right side
   6,146.82x = 32,289,741.83
5. Step 5: Solve for x
   x = 32,289,741.83/6,146.82
6. Step 6: Final answer
   x = 5,253.08