Finding the Fourth Proportional to 9,965.72, 13,742.91 and 6,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.72 : 13,742.91 = 6,189.50 : x
2. Step 2: Convert to fraction form
   9,965.72/13,742.91 = 6,189.50/x
3. Step 3: Cross multiply
   9,965.72x = 13,742.91 × 6,189.50
4. Step 4: Simplify right side
   9,965.72x = 85,061,741.45
5. Step 5: Solve for x
   x = 85,061,741.45/9,965.72
6. Step 6: Final answer
   x = 8,535.43