Finding the Fourth Proportional to 6,465.48, 9,706.82 and 3,837.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,465.48 : 9,706.82 = 3,837.84 : x
2. Step 2: Convert to fraction form
   6,465.48/9,706.82 = 3,837.84/x
3. Step 3: Cross multiply
   6,465.48x = 9,706.82 × 3,837.84
4. Step 4: Simplify right side
   6,465.48x = 37,253,222.07
5. Step 5: Solve for x
   x = 37,253,222.07/6,465.48
6. Step 6: Final answer
   x = 5,761.86