Finding the Fourth Proportional to 13,834.61, 19,091.72 and 7,546.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.61 : 19,091.72 = 7,546.94 : x
2. Step 2: Convert to fraction form
   13,834.61/19,091.72 = 7,546.94/x
3. Step 3: Cross multiply
   13,834.61x = 19,091.72 × 7,546.94
4. Step 4: Simplify right side
   13,834.61x = 144,084,065.34
5. Step 5: Solve for x
   x = 144,084,065.34/13,834.61
6. Step 6: Final answer
   x = 10,414.75