Finding the Fourth Proportional to 6,996.63, 9,655.36 and 3,852.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,996.63 : 9,655.36 = 3,852.82 : x
2. Step 2: Convert to fraction form
   6,996.63/9,655.36 = 3,852.82/x
3. Step 3: Cross multiply
   6,996.63x = 9,655.36 × 3,852.82
4. Step 4: Simplify right side
   6,996.63x = 37,200,388.22
5. Step 5: Solve for x
   x = 37,200,388.22/6,996.63
6. Step 6: Final answer
   x = 5,316.90