Finding the Fourth Proportional to 6,996.42, 9,654.93 and 3,852.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,996.42 : 9,654.93 = 3,852.54 : x
2. Step 2: Convert to fraction form
   6,996.42/9,654.93 = 3,852.54/x
3. Step 3: Cross multiply
   6,996.42x = 9,654.93 × 3,852.54
4. Step 4: Simplify right side
   6,996.42x = 37,196,004.02
5. Step 5: Solve for x
   x = 37,196,004.02/6,996.42
6. Step 6: Final answer
   x = 5,316.43