Finding the Fourth Proportional to 13,929.29, 19,222.86 and 7,642.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,929.29 : 19,222.86 = 7,642.25 : x
2. Step 2: Convert to fraction form
   13,929.29/19,222.86 = 7,642.25/x
3. Step 3: Cross multiply
   13,929.29x = 19,222.86 × 7,642.25
4. Step 4: Simplify right side
   13,929.29x = 146,905,805.72
5. Step 5: Solve for x
   x = 146,905,805.72/13,929.29
6. Step 6: Final answer
   x = 10,546.54