Finding the Fourth Proportional to 9,734.13, 14,606.82 and 4,111.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734.13 : 14,606.82 = 4,111.38 : x
2. Step 2: Convert to fraction form
   9,734.13/14,606.82 = 4,111.38/x
3. Step 3: Cross multiply
   9,734.13x = 14,606.82 × 4,111.38
4. Step 4: Simplify right side
   9,734.13x = 60,054,187.61
5. Step 5: Solve for x
   x = 60,054,187.61/9,734.13
6. Step 6: Final answer
   x = 6,169.45