Finding the Fourth Proportional to 6,980.42, 9,633.12 and 3,836.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,980.42 : 9,633.12 = 3,836.82 : x
2. Step 2: Convert to fraction form
   6,980.42/9,633.12 = 3,836.82/x
3. Step 3: Cross multiply
   6,980.42x = 9,633.12 × 3,836.82
4. Step 4: Simplify right side
   6,980.42x = 36,960,547.48
5. Step 5: Solve for x
   x = 36,960,547.48/6,980.42
6. Step 6: Final answer
   x = 5,294.89