Finding the Fourth Proportional to 13,004.50, 17,946.48 and 7,697.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,004.50 : 17,946.48 = 7,697.38 : x
2. Step 2: Convert to fraction form
   13,004.50/17,946.48 = 7,697.38/x
3. Step 3: Cross multiply
   13,004.50x = 17,946.48 × 7,697.38
4. Step 4: Simplify right side
   13,004.50x = 138,140,876.22
5. Step 5: Solve for x
   x = 138,140,876.22/13,004.50
6. Step 6: Final answer
   x = 10,622.54