Finding the Fourth Proportional to 9,964.69, 13,743.42 and 6,185.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,964.69 : 13,743.42 = 6,185.72 : x
2. Step 2: Convert to fraction form
   9,964.69/13,743.42 = 6,185.72/x
3. Step 3: Cross multiply
   9,964.69x = 13,743.42 × 6,185.72
4. Step 4: Simplify right side
   9,964.69x = 85,012,947.96
5. Step 5: Solve for x
   x = 85,012,947.96/9,964.69
6. Step 6: Final answer
   x = 8,531.42