Finding the Fourth Proportional to 13,834.82, 19,085.97 and 9,356.96

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.82 : 19,085.97 = 9,356.96 : x
2. Step 2: Convert to fraction form
   13,834.82/19,085.97 = 9,356.96/x
3. Step 3: Cross multiply
   13,834.82x = 19,085.97 × 9,356.96
4. Step 4: Simplify right side
   13,834.82x = 178,586,657.85
5. Step 5: Solve for x
   x = 178,586,657.85/13,834.82
6. Step 6: Final answer
   x = 12,908.49