Finding the Fourth Proportional to 13,834.44, 19,091.46 and 7,546.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.44 : 19,091.46 = 7,546.76 : x
2. Step 2: Convert to fraction form
   13,834.44/19,091.46 = 7,546.76/x
3. Step 3: Cross multiply
   13,834.44x = 19,091.46 × 7,546.76
4. Step 4: Simplify right side
   13,834.44x = 144,078,666.67
5. Step 5: Solve for x
   x = 144,078,666.67/13,834.44
6. Step 6: Final answer
   x = 10,414.49