Finding the Fourth Proportional to 13,897.50, 19,178.55 and 7,609.89

Step by Step Solution

1. Step 1: Write the proportion equation
   13,897.50 : 19,178.55 = 7,609.89 : x
2. Step 2: Convert to fraction form
   13,897.50/19,178.55 = 7,609.89/x
3. Step 3: Cross multiply
   13,897.50x = 19,178.55 × 7,609.89
4. Step 4: Simplify right side
   13,897.50x = 145,946,655.86
5. Step 5: Solve for x
   x = 145,946,655.86/13,897.50
6. Step 6: Final answer
   x = 10,501.65