Finding the Fourth Proportional to 13,929.39, 19,222.56 and 7,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,929.39 : 19,222.56 = 7,641.75 : x
2. Step 2: Convert to fraction form
   13,929.39/19,222.56 = 7,641.75/x
3. Step 3: Cross multiply
   13,929.39x = 19,222.56 × 7,641.75
4. Step 4: Simplify right side
   13,929.39x = 146,893,997.88
5. Step 5: Solve for x
   x = 146,893,997.88/13,929.39
6. Step 6: Final answer
   x = 10,545.62