Finding the Fourth Proportional to 13,834.34, 19,091.55 and 7,546.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.34 : 19,091.55 = 7,546.82 : x
2. Step 2: Convert to fraction form
   13,834.34/19,091.55 = 7,546.82/x
3. Step 3: Cross multiply
   13,834.34x = 19,091.55 × 7,546.82
4. Step 4: Simplify right side
   13,834.34x = 144,080,491.37
5. Step 5: Solve for x
   x = 144,080,491.37/13,834.34
6. Step 6: Final answer
   x = 10,414.70