Finding the Fourth Proportional to 6,986.56, 9,641.55 and 3,842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,986.56 : 9,641.55 = 3,842.82 : x
2. Step 2: Convert to fraction form
   6,986.56/9,641.55 = 3,842.82/x
3. Step 3: Cross multiply
   6,986.56x = 9,641.55 × 3,842.82
4. Step 4: Simplify right side
   6,986.56x = 37,050,741.17
5. Step 5: Solve for x
   x = 37,050,741.17/6,986.56
6. Step 6: Final answer
   x = 5,303.15