Finding the Fourth Proportional to 13,925.89, 19,217.70 and 7,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,925.89 : 19,217.70 = 7,638.25 : x
2. Step 2: Convert to fraction form
   13,925.89/19,217.70 = 7,638.25/x
3. Step 3: Cross multiply
   13,925.89x = 19,217.70 × 7,638.25
4. Step 4: Simplify right side
   13,925.89x = 146,789,597.03
5. Step 5: Solve for x
   x = 146,789,597.03/13,925.89
6. Step 6: Final answer
   x = 10,540.77