Finding the Fourth Proportional to 13,834.21, 19,091.27 and 7,546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.21 : 19,091.27 = 7,546.72 : x
2. Step 2: Convert to fraction form
   13,834.21/19,091.27 = 7,546.72/x
3. Step 3: Cross multiply
   13,834.21x = 19,091.27 × 7,546.72
4. Step 4: Simplify right side
   13,834.21x = 144,076,469.13
5. Step 5: Solve for x
   x = 144,076,469.13/13,834.21
6. Step 6: Final answer
   x = 10,414.51