Finding the Fourth Proportional to 9,736.13, 14,609.82 and 4,113.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.13 : 14,609.82 = 4,113.38 : x
2. Step 2: Convert to fraction form
   9,736.13/14,609.82 = 4,113.38/x
3. Step 3: Cross multiply
   9,736.13x = 14,609.82 × 4,113.38
4. Step 4: Simplify right side
   9,736.13x = 60,095,741.39
5. Step 5: Solve for x
   x = 60,095,741.39/9,736.13
6. Step 6: Final answer
   x = 6,172.45